Question

Find the equation of the line that contains point (1,6) with a slope of -1/4. Write the answer in slope-intercept form.

Answer 1

Explanation:

Write equation in point slope form:

y - y1 = m(x - x1), where m is slope and (x1,y1) is a point on the line

Here m = 1/4 and (x1,y1) = (0,-6)

y--6 = 1/4(x - 0)

y+6 = 1/4x

in slope-intercept form

y = 1/4x - 6

to find x-intercept, substitute 0 for y and solve for x

to find y-intercept, substitute 0 for x and solve for y