How to graph y=3/2 x+3?

Gaswasserm8o

Gaswasserm8o

Answered question

2023-02-06

How to graph y = 3 2 x + 3 ?

Answer & Explanation

Corbin Higgins

Corbin Higgins

Beginner2023-02-07Added 6 answers

The equation is in the slope-intercept form, so this is straightforward.
y = m x + b
where m = the slope ( think mountain ski slope)
and b = the y intercept ( think beginning.)
Start at b the beginning
b = ( 0 +3) b is the y intercept where x = 0 and y = 3
Then use the slope 2 3 = y x
Add 2 to the y value 3 + 2 = 5
Add 3 to the x value 0 + 3 = 3
this gives the second point ( 3,5)
plot the two points and connect the dots with a line, The graph of the equation is done.
julioloupiasvfx

julioloupiasvfx

Beginner2023-02-08Added 1 answers

Graph:
y = 3 2 x + 3
A straight line can be graphed using two points. The x- and y-intercepts are easiest to find, especially when the equation is in standard form.
Convert to standard form, A x + B y = C , by subtracting 3 2 x from both sides.
- 3 2 x + y = 3
X-intercept: value of x when y = 0
Substitute 0 for y and solve for x .
- 3 2 x + 0 = 3
- 3 2 x = 3
Divide the two sides by 2 .
- 3 x = 3 × 2
- 3 x = 6
Divide both sides by - 3 .
x = 6 - 3
x = - 2
The x-intercept is: ( - 2 , 0 ) .
Y-intercept: value of y when x = 0
Substitute 0 for x and solve for y .
- 3 2 ( 0 ) + y = 3
y = 3
The y-intercept is: ( 0 , 3 ) .
Plot the x- and y-intercept and draw a straight line through them.
graph{y=3/2x+3 [-10, 10, -5, 5]}

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?