Question

Write the equation for Chelsea's graph in

slope-intercept form. Make sure the slope is
written in simplest form.

Answer 1

`y=-4x+16`.

Explanation:

From the given graph it is clear that the y-intercept is 16.

The line passes through (-2,24) and (2,8). So, slope of line is

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

`Slope=(8-24)/(2-(-2))`

`Slope=(-16)/(4)`

`Slope=-4`

Slope intercept form of a line is

`y=mx+b`

where, m is slope and b is y-intercept.

Substitute m=-4 and b=16 in the above equation.

`y=(-4)x+(16)`

`y=-4x+16`

Therefore, the required equation is
`y=-4x+16`.