Question

Write the slope-intercept equation for a line that

passes through the following points:
(3,-1) and (5,-1)

Answer 1

9514 1404 393

Answer:

y = -1

Explanation:

The slope formula tells you the slope is ...

m = (y2 -y1)/(x2 -x1)

m = (-1 -(-1))/(5 -3) = 0/2 = 0

We can find the y-intercept using the first point:

b = y -mx

b = -1 -0·3 = -1

Then the slope-intercept form is ...

y = mx + b

y = 0·x -1

y = -1 . . . . . simplified

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Of course, you can bypass all of that when you realize the two y-values are the same, so the line is a horizontal line with y equal to that value.