Question

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

Answer 1

Answer:

$y = \frac{1}{5}x - 4$

Step-by-step 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:

$m = \frac{y_2-y_1}{x_2-x_1}$

Substitute the points to get;

$m = \frac{ - 3 - - 4}{5 - 0}$

$m = \frac{ - 3 + 4}{5 - 0}$

$m = \frac{ 1}{5 }$

The y-intercept is c=-4

Let us put the values into the formula to get:

$y = \frac{1}{5}x - 4$