Question

What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10)? Enter your answers in the boxes.
y+ (blank) = (blank) (x + 1)

Answer 1

Answer:

the answer is y+2=3(x+1)

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Answer 2

Answer:

y + 2 = 3(x + 1)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (3, 10)

m = $\frac{10+2}{3+1}$ = $\frac{12}{4}$ = 3

use either of the 2 points as a point on the line

using (a, b) = (- 1, - 2), then

y + 2 = 3(x + 1)