Answer:
[tex]y = \frac{1}{5}x - 4[/tex]
Step-by-step explanation:
The slope-intercept form of a line is given as:
[tex]y = mx + c[/tex]
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:
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
Substitute the points to get;
[tex]m = \frac{ - 3 - - 4}{5 - 0} [/tex]
[tex]m = \frac{ - 3 + 4}{5 - 0}[/tex]
[tex]m = \frac{ 1}{5 }[/tex]
The y-intercept is c=-4
Let us put the values into the formula to get:
[tex]y = \frac{1}{5}x - 4[/tex]
