Question

Through: (-1,-5), slope=3

Answer 1

Answer:

y + 5 = 3(x + 1) → point-slope form

y = 3x - 2 → slope-intercept form

3x - y = 2 → standard form

Step-by-step explanation:

The point-slope form of an equation of a line:

y - y₁ = m(x - x₁)

m - a slope

(x₁, y₁) - a point on a line

We have

m = 3, (-1, -5) → x₁ = -1, y₁ = -5

Substitute:

y - (-5) = 3(x - (-1))

y + 5 = 3(x + 1) → point-slope form

convert to the slope-intercept form y = mx + b:

y + 5 = 3(x + 1)      use the distributive property: a(b + c) = ab + ac

y + 5 = 3x + 3     subtract 5 from both sides

y = 3x - 2 → slope-intercept form

convert to the standard form Ax + By = C:

y = 3x - 2            subtract 3x from both sides

-3x + y = -2         change the signs

3x - y = 2 → standard form