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

C

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=(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=(2-(-1.5))/(-4-0)`

`m=(2+1.5)/(-4)=(3.5)/(-4) =-0.875`

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