Question

Write a slope-intercept equation for a line passing through the point (4, -2) that is parallel to the line 4x + 5y = 9. Then write a second
equation for a line passing through the point (4, - 2) that is perpendicular to the line 4x + 5y = 9

Answer 1

Answer:

7y = -4 x + 8

y = -(4/7) x + /7

so m = -4/7

y = -(4/7)x + b

-2 = -(4/7)(4) + b

-14/7 + 16/7 = b

b = 2/7

so

y = -(4/7)x + 2/7

7y = -4x + 2

for the second one

m = -(-7/4) = 7/4

so

y = (7/4) x + b

now put x = 4 and y = 2 in again to find b

Step-by-step explanation: