Question

A line passes through the point (3,6) and has a slope of 5?

Answer 1

y = 5x - 9

Explanation:

To write an equation in slope-intercept form, two values are needed: the y-intercept and the slope. Since we already have the slope, to find the equation of this line, we need to find the y-intercept.

To find the y-intercept, plug the point into the equation for slope-intercept, which is y = mx + b. m = slope and b = y-intercept.

6 = 5(3) + b

Now, isolate b.

Evaluating 5*3, we get 6 = 15 + b.

Subtracting 15 from both sides, we get -9 = b.

Now, plug b and m into the equation for slope-intercept form to get your final answer:

y = 5x - 9

Answer 2

y = 5x - 9

Explanation:

y - y₁ = m(x - x₁), where (x₁, y₁) = (3, 6)

y - 6 = 5(x - 3)

y = 5x - 15 + 6

y = 5x - 9