Question

write the equation of this line in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Find the slope (m)

The line passes through points (-4, 0) and (0, 3). Using the slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we have $m=\frac{3 - 0}{0-(-4)}=\frac{3}{4}$.

Step2: Find the y - intercept (b)

The y - intercept is the y - value when x = 0. From the graph, when x = 0, y = 3, so b = 3.

Step3: Write the equation in slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substituting $m=\frac{3}{4}$ and b = 3, we get $y=\frac{3}{4}x+3$.

Answer:

$y=\frac{3}{4}x + 3$