There is a line that includes the point (6, 0) and has a slope of 1/3. What is its equation in slope-intercept form?

Answer 1

Hi Alicia!

Let's look at the information that's given to us, being a slope of 1/3 and the line passes through (6,0). We're asked what the equation is in slope-intercept form, which is y=mx+b, where m is the slope and y is the y-intercept. Unfortunately, we're given the x-intercept instead, so we have to find the y from there. Now let's apply what we know about the slope. The slope of 1/3 means that for every point upwards, the line moves 3 to the right (rise over run). Now let's try using point-slope form to derive slope-intercept form. Point slope form is y-y1=m(x-x1). Now let's plug in the numbers.

y-0=m(x-6)

y-0=1/3(x-6)

y=1/3(x-6)

y = x/3 - 2