Question

A line that includes the point (4,4) has a slope of 3. What is its equation in slope-intercept

form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y = 3x - 8

Explanation:

Finding the equation in point-slope form is easier. The result can then be put into slope-intercept form.

The point-slope formula is y - k = m(x - h). With the given point (h, k) being (4, 4), h = 4 and k = 4. The slope is 3. Therefore, we have:

y - 4 = 3(x - 4), or

y = 4 + 3x - 12

This simplifies to the slope-intercept form y = 3x - 8