math homework check

Question

Write the equation of a line in slope-intercept form that passes through the point (2,4) and is perpendicular to the line y=-1/2x+3

Answer 1

The slope of y=-1/2x+3 is -1/2, so the slope of the perpendicular line should be the inverse reciprocal, or 2.

Using the point-slope equation, y - 4 = m(x - 2), where m = 2

Rearranging to slope-intercept form, y = 2x