Question

Given point (-6, -2) and a slope of 5, write an equation in slope-intercept form.

a. y = 5x + 28
b. y = -5x+28
c. y +2=5(x+6)
d. y-2=5(x-6)
Please select the best answer from the choices provided
OO
OO
d
B
CD

Answer 1

To write the equation in slope-intercept form, substitute the given slope and point into the equation and solve for y-intercept.

Step-by-step explanation:

To write the equation in slope-intercept form, we can use the formula y = mx + b, where m represents the slope and b represents the y-intercept. Since the slope is given as 5, we substitute it into the equation, giving us y = 5x + b. To find b, we can substitute the coordinates of the given point (-6, -2) into the equation:

-2 = 5(-6) + b

-2 = -30 + b

b = -2 + 30 = 28

Now, we substitute the value of b back into the equation, giving us y = 5x + 28. Therefore, the correct option is a. y = 5x + 28.

Learn more about Equations and Slope-Intercept Form