Question

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

Answer 1

Answer:

y = 3x - 6

y + 3 = 3(x - 1)

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Point-Slope Form: y - y₁ = m(x - x₁)

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Find slope m

$m=\frac{15-(-3)}{7-1}$

$m=\frac{15+3}{6}$

$m=\frac{18}{6}$

$m=3$

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)