A line passes through the point −8, 4 and has a slope of 34.Write an equation in slope-intercept form for this line.

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Identify the slope (m) and the point (x, y) from the question. Here, m = 3/4 and the point is (-8, 4).

Step 2: Substitute the slope and the point into the equation. We get 4 = (3/4)(-8) + b.

Step 3: Simplify the equation to solve for b. We get 4 = -6 + b.

Step 4: Add 6 to both sides of the equation to isolate b. We get b = 10.

Step 5: Substitute m and b back into the slope-intercept equation. We get y = (3/4)x + 10.

So, the equation of the line in slope-intercept form is y = (3/4)x + 10.