Find the equation of the line with a y-intercept of -3 and a x-intercept of -4.5

So with intercepts, we know that one of the coordinates is 0 - that is because the line intercepts the axis at this point.

When we have a y-intercept of -3, it is written as (0,-3)

And when we have an x-intercept of -4.5, we write it as (-4.5,0)

So now we have our two points - let's find the slope using the equation:

--->

If we convert -4.5 to an improper fraction, we get:

So then we go back and simplify:

So now we have our slope: . Then we can write the equation:

Let's use the point (0,-3) to solve for b:

So now we can write the equation:

This is the equation of the line with points (0,-3) and (-4.5,0).

step-by-step explanation:

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step-by-step explanation: