Question

1. Given point (-3, -5) and a slope of 2, write an equation in point-slope form.

a.y + 5 = 2(x - 3)
c.y + 5 = 2(x + 3)
b.y - 5 = 2(x - 3)
d.y - 5 = 2(x + 3)

2.Given point (-6, -3) and a slope of 4, write an equation in point-slope form.
a.y - 3 = 4(x - 6)
c.y + 3 = 4(x + 6)
b.y + 3 = 4(x - 6)
d.y - 3 = 4(x + 6)

Answer 1

option c in both cases

Explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁ )

where m is the slope and (x₁, y₁ ) a point on the line

(1)

Here m = 2 and (x₁, y₁ ) = (- 3, - 5) , then

y - (- 5) = 2(x - (- 3) ) , that is

y + 5 = 2(x + 3)

(2)

Here m = 4 and (x₁, y₁ ) = (- 6, - 3) , then

y - (- 3) = 4(x - (- 6) ) , that is

y + 3 = 4(x + 6)