Question

Rin says you can solve for the​ y-intercept using the​ slope, one ordered​ pair, and the​ slope-intercept equation. Is she​ correct? Explain.
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Part 1
Choose the correct answer below.
A.
​No, there are too many unknown values in the equation to be able to solve for the​ y-intercept.
B.
​Yes, you can substitute the known values into the equation and solve for the​ y-intercept, y.
C.
​No, the​ y-intercept must be given in order to use the​ slope-intercept equation.
D.
​Yes, you can substitute the known values into the equation and solve for the​ y-intercept, b.

Answer 1

D.

Yes. With the slope m and one point (x,y) you substitute into y = mx + b and solve for b. Example: if m = 2 and (3,5) is on the line, 5 = 2(3) + b so b = 5 − 6 = −1.