Question

Find the equation of the graphed line. 6 .....5 a. c. y = 4x-2 y = --X-2 2 by=-2x - 4 d. y = -4x-2

Answer 1

The equation of the line in slope-i9ntercept form is

`y=mx+b`

where m is the slope and b is the intercept

First we need to calculate the slope with the next formula

`m=(y_2-y_1)/(x_2-x_1)`

we need two points of the line

(0,-2)=(x1,y1)

(-4,0)=(x2,y2)

we substitute the points in the formula

`m=(0+2)/(-4+0)=(2)/(-4)=-(1)/(2)`

then we need to know the values of the y-intercept that is the value of the coordinate y when x is equal to 0

in our case is -2

Therefore the equation of the line is

`y=-(1)/(2)x-2`

as we can see the correct choice is a