Y-Intercept Q&A: Expert Help with Explanation

A linear function has equation $y = - 2 x$ .
Show that the $x$ -intercept and the $y$ -intercept are both zero.

Shea Stuart 2022-07-05

Why is the y intercept for this equation positive?
Rational function
$\frac{(x + 1) (3 x + 2)}{{(x + 1)}^{2}}$
I have found that the two asymptotes are: $y = 3$ and $x = - 1$ and there are no turning points for this function.
To find the $x$ intercept:
$0 = \frac{(x + 1) (3 x + 2)}{{(x + 1)}^{2}}$
Hence
$3 x^{2} - x - 2 = 0$
$x_{1} = 1 x_{2} = - \frac{2}{3}$
Simularly to find the $y$ intercept I did the following:
$\frac{(0 + 1) (3 (0) + 2)}{{(0 + 1)}^{2}}$
$y = - 2$
However plotting this into a graphing software shows that the $y$ intercept is $y = 2$ and $x$ intercept is only $x = - \frac{2}{3}$ and not $x = 1$ .
Why are the intercepts incorrect?

woowheedr 2022-07-03

In $y = 5 x + 6$ , is the $6$ the $y$ -intercept or the $x$ -intercept?

Frederick Kramer 2022-07-03

I know how to find the parabola quadratic equation given the roots. However, in this problem I'm given the y-intercept of (0,3) {So, now I know C value} and the axis of symmetry of x=-3/8. From this I know that 3a=4b. But, it seems I need one more point, since I have 3 unknowns, I'd need 3 INDEPENDENT equations.
So, I said, ah, I know another point, it's on the other side of the aos. So, I used (-3/4, 3). However, when I plug this in, it appears to not be an independent equation. So, I'm left with just c=3 and 3a=4b. How, do I work this from here?

2nalfq8 2022-07-01

How to prove that $\frac{x}{a} + \frac{y}{b} = 1$ where $a$ is the $x$ -intercept and $b$ is the $y$ -intercept for all $a, b \neq 0$

Emanuel Keith 2022-06-27

Which of the following is the $y$ −intercept of a parabola represented by the equation $y = (x^{2}) - 3 x - 4$ ?
$0$
$1$
$- 4$
$- 6$

Mara Cook 2022-06-27

Function: $f (x) = \frac{\sin (x)}{x}$ . Why is the $y$ -intercept $= 1$ despite $\sin (0)$ being divided by zero?

Emmy Knox 2022-06-26

Two parallel lines, the equation of the first line is
$y = - x - 3.$
The distance between the parallel lines is $0.5$ . How do I find the $y$ -intercept of the second line?

dourtuntellorvl 2022-06-26

What is the slope of a line that has an X-Intercept of 8 and a Y-Intercept of 11?

Hailie Blevins 2022-06-24

Let $f (x) = \frac{x^{2} + 1}{x^{2} - 9}$
So to find the y intercept I take $f (0)$ correct? So when I substitute $0$ for $x$ I got $- \frac{1}{9}$ so is the $y$ intercept $(0, - \frac{1}{9})$
Also to find the $x$ intercept I set the numerator equal to $0$ . So then I got $x^{2} + 1 = 0$ but wouldn't that make $x^{2} = - 1$ which is imaginary?

gvaldytist 2022-06-23

Need help with the steps of finding the slope and $y$ -intercept of this equation: $f (x) = 3 x - \frac{1}{5}$

Amber Quinn 2022-06-22

Suppose a line goes through the points $A = (x_{1}, y_{1})$ and $B = (x_{2}, y_{2})$ . One can easily check (as I did today while doodling) that
$b = - \frac{x_{1} y_{2} - x_{2} y_{1}}{x_{2} - x_{1}}$
where $b$ is the y-coordinate of the $y$ -intercept. This can be written more suggestively as
$\begin{matrix} (1) & b = - \frac{det (A, B)}{Δ x} \end{matrix}$
The presence of det(A,B) suggests a geometrical interpretation, but I couldn't think of one. This reminds me of Cramer's Rule, but I couldn't make that connection explicit either.

Poftethef9t 2022-06-21

The graph of the quadratic function $y = (x - h)^{2} + k$ passes through $(3, 7)$ and $(4, 11)$ . The axis of symmetry is the graph is $x = 2$ . How can I find the $y$ -intercept of the graph? I know that it is the value of $k$ (the minimum value of the function) but how could I find it?

gnatopoditw 2022-06-19

The original function is given,
$y = 2 x^{2} + 2 x + 7$
at the point $(4, 47)$ .
I found the tangent line from the original function which is:
$f^{'} (x) = 4 x + 2.$
The question states that the tangent line can be written as $y = m x + b$ and asks me to find the slope ( $m$ ) as well as the $y$ -intercept ( $b$ ).
I have found the slope which is $18$ , by plugging in the $x$ -value from the point $(4, 47)$ into the tangent line: so I have $f (x) = 4 x + 2$ which equals $4 (4) + 2$ which is $18$ .
The way I'm trying to find the $y$ -intercept is by doing: $y - 47 = 18 (x - 3)$ which is $- 7$ , but it's wrong the answer is $- 25$ .
What mistake am I making that's leading me to get $- 7$ ?

Misael Matthews 2022-06-19

How to find the y of the vertex. How can I find the y? The x intercepts are (-1,0) (5,0) and the y intercept is (0,5) and the x of the vertex is 2.

April Bush 2022-06-15

Find the $y$ -intercept of a given parametric curve.
$x = t (t^{2} - 3)$
$y = 3 (t^{2} - 3)$

freakygirl838w 2022-06-14

Consider the surface given by the function $f (x, y) = \frac{4}{\sqrt{x^{2} + y^{2} - 9}}$ . What is the range of $f$ ? Determine any $y$ -intercept(s) of $f$ .
For range, I realize that $\sqrt{x^{2} + y^{2} - 9}$ can be any number, so long as $x^{2} + y^{2} - 9$ is positive or equal to zero. However, when looking at $f$ , we know that the denominator cannot equal zero, which means that $\sqrt{x^{2} + y^{2} - 9}$ can be any number greater than $0$ . Would this mean that the range of $f$ is $(0, \infty)$ ?
For the $y$ -intercept, I know that both $x$ and $z$ need to equal zero. Would this mean that there are no $y$ -intercepts because $0$ is not in the range of $f$ ?

Emmy Dillon 2022-06-13

The graph of $r = \frac{- 5}{2 \cos (θ) + \sin (θ)}$ is a line. Find the y-intercept of this line.

Sonia Gay 2022-06-13

What is the equation of the line with 5 and -3 as x- and y-intercept, respectively?

Lliren Aniracsam2022-05-31

y=0.5x-2

Finding y-intercept is much easier when you have a list of questions and answers that will help you understand the point where a line, curve, or surface would intersect the y-axis. If you need assistance with the graphical aspect of things, you should explore various y-intercept questions and answers that we have. Some of them are related to high school studies where graphs and finding of coordinates must be achieved, while others will relate to engineering tasks that you might find useful when you need to combine calculations with the graphical part of your lab reports or scientific statistical data.

High school statistics

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