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A line with a slope of 3/4 passes through (-2,-3). Write the equation of the line in general form.

User Shredator
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1 Answer

11 votes

Step-by-step explanation:

Disclaimer:
By general form, I will assume that the problem would like us to write the answer in Slope-Intercept Form.

We know that slope-intercept form is y=mx+b. m = the slope, and b = the point where the line hits the y-axis on the graph (the y-intercept).

The slope is given (3/4), which we can plug into our equation. Now we have y=3/4x + b.

Now we can see that the line passes through (-2,-3). Let's plug in those coordinates into our equation. Remember! All coordinates are written in (x,y), meaning that x = -2 and y = -3. "B" is the missing variable that we need to solve for. Time to substitute!

-3 = (3/4 x -3) + b
-3 = -9/4 + b
b=-3/4.

Now that we know B, let's rewrite our equation and get our answer!

y = 3/4x - 3/4

User Kevintechie
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