Question

Write the equation of a line in slope- intercept form passing through these two points (-1,-2) and (1,4)

Answer 1

Answer:

y=3x+1

Step-by-step explanation:

4--2=6

1--1=2

6/2=3

slope is 3

4=3(1)+b

4=3+b

4-3=3-3+b

1=b

1 is the y intercept

Answer 2

Answer:

    y = 3x + 1

Step-by-step explanation:

(x₁, y₁) = (-1, -2)   & (x₂ , y₂) = (1, 4)

$slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

        $= \frac{4-[-2]}{1-[-1]}\\\\= \frac{4+2}{1+1}\\\\= \frac{6}{2}\\\\= 3$

m = 3

y -y₁ = m(x - x₁)

y - [-2] = 3(x - [-1])

y + 2 = 3(x +1)

y + 2 = 3x + 3

      y = 3x + 3 -2

      y = 3x + 1