Find the value of x so that the slope of the line through the points (x,−3) and (4,5) is 23

Question

Find the value of x so that the slope of the line through the points (x,−3) and (4,5) is 23

alexandrebaud43 · Accepted Answer

Step 1
Given information:
The slope of line is 2/3.
The given points are (x,-3) and (4,5).
Step 2
Calculation:
The slope of the line passing through two point is calculated by

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

Step 3
The points are (x,-3) and (4,5).

\frac{2}{3} = \frac{5 - (- 3)}{4 - x}

2 (4 - x) = 3 (5 + 3)

8 - 2 x = 24

2 x = 8 - 24

2 x = - 16

x = - 8

Step 4
Final statement: The value of x is -8.

eskalopit · Accepted Answer

Step 1
We know that the slope of line that passes through

(x 1, x 2) and (y 1, y 2) i s m = \frac{y 2 - y 1}{x 2 - x 1}

.
By using it we can calculate the value of x.

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

m = \frac{5 - (- 3)}{4 - x}

\frac{2}{3} = \frac{8}{4 - x}

8 - 2 x = 24

2 x = 8 - 24 = - 16

x = - 8

Step 2
Answer:

x = - 8

.

Vasquez · Accepted Answer

We know that the slope of line that passes through (x1,x2) and (y1,y2) is m=(y2−y1)/(x2−x1). m=y2−y1x2−x1 m=5−(−3)4−x 23=84−x 8-2x=24 2x=8-24=-16 x=-8 Answer: x=-8

Find the value of x so that the slope of

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