What is an equation of the line that passes through the point (- 2, 5) and perpendicular to the line whose equation is y = 1/2 * x + 5

y = -2x + 12

Step-by-step explanation:

Step 1: find the slope

y = 1/2x + 5

The equation of the line is

y = mx + c

m - slope

m = 1/2

Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other

m = -2

Step 2 : using a point slope form

y - y1 = m( x - x1)

( 2 , 5)

x1 = 2

y1 = 5

y - 2 = -2( x - 5)

y - 2 = -2x + 10

y = -2x + 10 + 2

y = -2x + 12

The equation of the line is

y = -2x + 12

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x