How do I write the equation of a line that passes through the point 4 and -2 and has a slope of 2?

To do this, use the formula y = mx + b where b is the y-intercept and m is the slope.

Since the slope is 2: y = 2x + b

To find b, substitute 4 for x and -2 for y: -2 = 2(4) + b, b = -2 - 2(4) = -10

The equation of the line is y = 2x - 10