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

2 Answers

5 votes

Answer:

y=3x+1

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

User Baksteen
by
3.6k points
1 vote

Answer:

y = 3x + 1

Explanation:

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


slope = (y_(2)-y_(1))/(x_(2)-x_(1))\\


= (4-[-2])/(1-[-1])\\\\= (4+2)/(1+1)\\\\= (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

User Mwrichardson
by
4.2k points