Question

What's the slope-intercept form that passes through the points (0, -1) and (1, 5)?

Answer 1

y = 6x - 1

Explanation:

`\bold{slope\, (m)=(change\ in\ Y)/(change\ in\ X)=(y_2-y_1)/(x_2-x_1)}`

(0, -1) ⇒ x₁ = 0, y₁ = -1

(1, 5) ⇒ x₂ = 1, y₂ = 5

So the slope:

`\bold{m=(5+1)/(1-0)=(6)/(1)=6}`

The slope-intercept form of the equation of line is y = mx + b, where m is the slope and b is the y-intercept of the line.

(0, -1) ⇒ x₀ = 0, y₀ = -1 ⇒ b = -1

Therefore:

y = 6x - 1 ← the slope-intercept form of the equation