Question

What is the equation of the line that passes through (-2,-3) and is perpendicular to y = -2x - 4 in slope-intercept form?

A) y = 2x - 7
B) y = -2x - 7
C) y = -1/2x - 5
D) y = 1/2x - 1

Answer 1

The equation of the line that passes through (-2, -3) and is perpendicular to y = -2x - 4 in slope-intercept form is y = 1/2x - 2 (option D).

Step-by-step explanation:

To find the equation of the line that is perpendicular to y = -2x - 4 and passes through the point (-2, -3), we first need to find the slope of the given line. The given line has a slope of -2, so the slope of the line perpendicular to it would be the negative reciprocal of -2, which is 1/2. Now we have the slope and a point, so we can use the point-slope formula to find the equation. The equation of the line that passes through (-2, -3) and is perpendicular to y = -2x - 4 in slope-intercept form is y = 1/2x - 2 (option D).