find the equation of the line whose slope is 0, and whose y-intercept is -5

Answer 1

find the equation of the line whose slope is 0, and whose y-intercept is -5

The slope-intercept form of the equation of a line looks like: y = mx + b

where:

m = slope

b = y-intercept

The problem gives the slope (m = 0) and the y-intercept (b = -5), so

y = 0x + (-5)

y = -5

Did you know that horizontal lines have a slope of 0? That means that for every value of x, the value of y is the same. Here, y=-5 for all values of x.

Answer 2

Equations of lines written in slope-intercept form are as follows:

y = mx + b where "m" is your slope and "b" is your y-intercept.

So, for this example our slope is 0 and our y-intercept is -5. We will plug 0 in for m and -5 in for b:

y = 0x - 5

We can simplify 0x which just becomes 0, so it just goes away altogether. We are left with:

y = -5

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