Question

What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

`y = (1)/(5)x - 4`

Explanation:

The slope-intercept form of a line is given as:

`y = mx + c`

where m is the slope and c is the y-intercept.

The curve passes through (0,-4) and (5,-3).

The slope is obtained using:

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

Substitute the points to get;

`m = ( - 3 - - 4)/(5 - 0)`

`m = ( - 3 + 4)/(5 - 0)`

`m = ( 1)/(5 )`

The y-intercept is c=-4

Let us put the values into the formula to get:

`y = (1)/(5)x - 4`