Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

write the equation of this line in slope - intercept form using the box…

Question

write the equation of this line in slope - intercept form using the boxes below. enter your answers for the slope, m, and the y - intercept, b, using integers, proper fractions, and improper fractions in lowest form without spacing. do not enter a decimal or mixed number. y = x +

Explanation:

Step1: Find two points on the line

The line passes through (-5,0) and (0,-15).

Step2: Calculate the slope $m$

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{-15 - 0}{0-(-5)}=\frac{-15}{5}=-3$

Step3: Identify the y - intercept $b$

The line crosses the y - axis at (0,-15), so $b=-15$.

Answer:

$y=-3x - 15$