A line has a slope of 74 and passes through the point (–5,–8). Write its equation in slope-intercept form.

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

Given that the slope (m) is 74 and the line passes through the point (-5,-8), we can substitute these values into the equation to find the y-intercept (b).

First, substitute the given values into the equation:

-8 = 74(-5) + b

Simplify the right side of the equation:

-8 = -370 + b

Then, solve for b by adding 370 to both sides of the equation:

b = 370 - 8 b = 362

So, the equation of the line in slope-intercept form is y = 74x + 362.