Question

EXTRA POINTS

Find an equation, in slope-intercept form, that passes through point (1, 5) with slope 1.

Select one:
a. y = -x + 1
b. y = x + 4
c. y = -x + 4
d. y = x + 1

Answer 1

The slope is 1, so m = 1.
The given point is (x,y) = (1,5) which means x = 1 and y = 5 pair up together.

Plug the three pieces of info (m = 1, x = 1, y = 5) into the y = mx+b equation. Then solve for b

y = mx+b
y = 1*x + b ... replaced m with 1
5 = 1*1 + b .... replaced x with 1, replaced y with 5
5 = 1+b
1+b = 5
b+1 = 5
b+1-1 = 5-1
b = 4

Since m = 1 and b = 4, we know that y = mx+b turns into y = 1x+4 which simplifies to y = x+4

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Answer: y = x+4