Final answer:
The equation in slope-intercept form of the line passing through the points (-8, -15) and (-6, 11) is y = 13x - 119.
Step-by-step explanation:
To find the equation in slope-intercept form, we need to determine the slope and the y-intercept of the line that passes through the points (-8, -15) and (-6, 11).
First, let's calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).
Substitute the coordinates into the formula: m = (11 - (-15)) / (-6 - (-8)) = 26 / 2 = 13.
Next, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
Let's substitute the slope (m = 13) and one of the given points (for example, (-8, -15)) into the equation: -
15 = 13(-8) + b. Solve for b: b = -15 - 104 = -119.
Therefore, the equation in slope-intercept form is: y = 13x - 119.