Question

write the equation of this line in slope - intercept form.
(there is a coordinate grid with a line plotted. the y - axis ranges from - 8 to 8 and the x - axis ranges from - 8 to 8. the line passes through (0, - 5) and (5, 0))
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify intercepts

The line crosses y-axis at $(0, -5)$ (y-intercept $b=-5$) and x-axis at $(5, 0)$.

Step2: Calculate slope

Slope $m = \frac{0 - (-5)}{5 - 0} = \frac{5}{5} = 1$

Step3: Write slope-intercept form

$y = mx + b = 1 \cdot x + (-5) = x - 5$

Answer:

$y = x - 5$