Respuesta :

Space

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: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Find slope m

[tex]m=\frac{15-(-3)}{7-1}[/tex]

[tex]m=\frac{15+3}{6}[/tex]

[tex]m=\frac{18}{6}[/tex]

[tex]m=3[/tex]

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)