How do you find the slope-intercept form for the equation of the line which passes through the point (5, 2) and which has a y-intercept of 7?

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Answer 1 · 2016-06-25T15:12:22

#y = -x+7#

The equation of a straight line is written in the form #y = mx+c#

We need to have values for the slope (m) and the y-intercept (c).
We do have a point (x,y) and c.
Substitute these to find m.

#2 = 5m + 7#

#5m = 2-7 = -5#

#m = -5/5 = -1#

Great! Now we have m and c and we can write the equation.

#y = -x+7#