Question

Now, use this information to complete the equation for the line. Write it in slope-intercept form.

Answer 1

The slope-intercept form of the equation of a line is y = –4x.

Solution:

Points on the graph are (0, 0) and (1, –4).

Let us first find the slope of the line.

Slope of the line formula:

`$m=(y_(2)-y_(1))/(x_(2)-x_(1))`

`x_1=0, y_1=0, x_2=1, y_2=-4`

Substitute these in the given formula, we get

`$m=(-4-0)/(1-0)`

`$m=(-4)/(1)`

`$m=-4`

Slope = –4

Slope-intercept form:

`y-y_1=m(x-x_1)`

`$y-0=-4 (x-0)`

`$y=-4x`

y = –4x

Hence the slope-intercept form of the equation of a line is y = –4x.