Question

Hi can someone help me pls

Answer 1

Alright. If a slope is negative it is going from right to left, the slope is -1/2 which means the slope is going up -1/2 and to the side -1. Also, the y-intercept is 4, which means the slope runs through the point (0,4). lets put this into the slope equation:

y=mx+b

y = -1/2x + 4

where m = slope

b = y-intercept.

If another line is running parallel, then it will have the same slope but a different y-intercept. Since the other line running parallel runs through the points (1, -5), it means that the y-intercept for this equation is -5.

y = -1/2x + 11/2

Last, a line running perpendicular will simply be the reciprocal of the line it is perpendicular to. Therefore the equation of the line perpendicular to the first line is

y = 2x + 12

Answer 2

Slope-intercept form is

y = -1/2 x + 4 answer

b. y - -5 = -1/2(x - 1)

y = -1/2x + 11/2 answer

c. a line perpendicular will have slope of - 1 / -1/2 = 2

y - 2 = 2(x - -5)

y = 2x + 12 answer