a line passes through the points (-7, -4) and (7, 0). write its equation in slope - intercept form. write…

Explanation:

Step1: Calculate the slope

Given points ((x_1, y_1) = (-7, -4)) and ((x_2, y_2) = (7, 0)), use slope formula (m = \frac{y_2 - y_1}{x_2 - x_1}):
(m = \frac{0 - (-4)}{7 - (-7)} = \frac{4}{14} = \frac{2}{7})

Step2: Find the y-intercept (b)

Use point-slope form (y - y_1 = m(x - x_1)) with ((7, 0)):
(y - 0 = \frac{2}{7}(x - 7))
Simplify: (y = \frac{2}{7}x - 2)

Answer:

(y = \frac{2}{7}x - 2)