Question

5A line passes through point (-8, 9) and has a slope of4Write an equation in Ax+By=C form for this line.Use integers for A, B, and C.

Answer 1

Point = (-8, 9)

slope = m = 5/4

Equation of the line

y - y1 = m(x - x1)

Substitution

y - 9 = 5/4(x + 8)

Expanding

4y - 36 = 5x + 40

General form

5x - 4y + 40 + 36 = 0

Equation of the line

5x - 4y + 76 = 0 5x - 4y = -76

A = 5 B = -4 C = 76 }}

Problem 2.

Point = (-10, -9)

slope = m = 1/2

Equation of the line

y - y1 = m(x - x1)

y + 9 = 1/2 (x + 10)

2y + 18 = x + 10

x - 2y = 18 - 10

x - 2y = 8