Find the equation of the line with x-intercept 4 and y-intercept -1 in slope-intercept form.

Mathematics

1 answer:

Nastasia [14]3 years ago

7 0

Answer:

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept, so we can already conclude that b=-1.

This results in y = mx - 1

We also have the x-intercept, and we know that the y-coordinate of an x-intercept is always 0. This means that we have the point (4,0). Substitute this into the formula to generate m:

0 = 4m - 1

4m = 1

m = 1/4

thus y = $\frac{1}{4}$ x - 1

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