Question

Please help! Write the slope-intercept form of the equation for the line.
a. y=-8/7x-3/2
b. y=-3/2x+7/8
c. y=-7/8x-3/2
d. y=7/8x-3/2

Answer 1

Answer:

C

Step-by-step explanation:

The slope intercept of a line is y=mx +b where

• m is the slope which is calculated as the vertical distance divided by the horizontal distance between two points.
• b is the y-intercept for value on the y-axis for which the line crosses it.

This graph crosses the y-axis (the vertical line) halfway between -1 and -2. This  is -3/2. This means only answers a, c, and d are options.

The graph moves up from -3/2 to its next point at (-4,0). We calculate the slope using:

Slope:$m=\frac{y_2-y_1}{x_2-x_1}$

We substitute $x_1=0\\y_1=-1.5$ and $x_2=-4\\y_2=2$

$m=\frac{2-(-1.5)}{-4-0}$

$m=\frac{2+1.5}{-4}=\frac{3.5}{-4} =-0.875$

This decimal is equivalent to -7/8. This means C is the answer.