How do you write the slope-intercept form of the line with a slope of 1/3 and going through the points (3, 7) and (0, 6)?

1 Answer
Jan 18, 2017

y = color(red)(1/3)x + color(blue)(6)y=13x+6

Explanation:

The slope-intercept form of a linear equation is:

y = color(red)(m)x + color(blue)(b)y=mx+b

Where color(red)(m)m is the slope and color(blue)(b)b is the y-intercept value.

In this problem the slope is given as color(red)(m = 1/3)m=13

Also, because the second point has the xx value of 00 the y value is therefore the yy intercept or color(blue)(b = 6)b=6

Substituting these into the formula gives:

y = color(red)(1/3)x + color(blue)(6)y=13x+6