Question

Write an equation of the line in standard form:
a) for the line that has slope -5 and passes through (3, 7)
b) for the line that passes through (2, -3) and (1, 6)
c) for the line that has slope 0 and y-intercept -8

Answer 1

Answer:

a) y = 5x -8

b) y = -9x+15

c) y = -8

Step-by-step explanation:

a) General equation of line: (y-y1) = m(x-x1)

m: slope

m = 5, X1 = 3, y1 = 7

Equation: (y-7) = 5(x-3)

y-7 = 5x-15

y = 5x -8

b) General equation of line: (y-y1) = m(x-x1)

m = (y2-y1)/(x2-x1)

x1 = 2, y1 = -3, x2 = 1, y2 = 6

m = (6-(-3))/(1-2) = 9/-1 = -9

Equation: y-(-3) = -9(x-2)

y+3 = -9x+18

y = -9x+15

c) General equation of line: y = mx + c

c: y intercept = -8

m: slope = 0

y = 0x+(-8)

y = -8