Question

What is an equation of the line containing (1, -3) and (7, 15)

Answer 1

y = 3x - 6

y + 3 = 3(x - 1)

Explanation:

Slope-Intercept Form: y = mx + b

Point-Slope Form: y - y₁ = m(x - x₁)

Slope Formula:
`m=(y_2-y_1)/(x_2-x_1)`

Step 1: Find slope m

`m=(15-(-3))/(7-1)`

`m=(15+3)/(6)`

`m=(18)/(6)`

`m=3`

y = 3x + b

Step 2: Find y-intercept b

-3 = 3(1) + b

-3 = 3 + b

b = -6

Step 3: Write linear equation

y = 3x - 6

or

y + 3 = 3(x - 1)