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 (0, - 7) and (2,1). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m=\frac{1-(-7)}{2 - 0}=\frac{1 + 7}{2}=\frac{8}{2}=4$.

Step2: Find the y - intercept (b)

The y - intercept is the y - value when x = 0. From the graph, when x = 0, y=-7, so b=-7.

Step3: Write the equation

The slope - intercept form of a line is y = mx + b. Substituting m = 4 and b=-7, we get y = 4x-7.

Answer:

y = 4x-7