Question

Perpendicular y= 1/2 x +4 (-8, 3)

show your work by the way
this is for normal math class 9th grade.

Answer 1

To find the perpendicular line to the line y = 1/2x + 4 that passes through the point (-8, 3), we can follow these steps:

Determine the slope of the given line. The line y = 1/2x + 4 is in slope-intercept form (y = mx + b), where the slope is m = 1/2.

Find the negative reciprocal of the slope from step 1 to obtain the slope of the perpendicular line. The negative reciprocal of 1/2 is -2, so the slope of the perpendicular line is -2.

Use the point-slope form of a line (y - y1 = m(x - x1)) and plug in the slope from step 2 and the point (-8, 3) to find the equation of the perpendicular line.

y - 3 = -2(x + 8)

Simplifying this equation gives:

y = -2x - 13

Therefore, the equation of the perpendicular line passing through (-8, 3) is y = -2x - 13.