Question

Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form.

P(−4, −6); m = −3/4

Answer 1

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Answer:

3x +4y = -36

Explanation:

The slope-intercept form is ...

y = mx + b

where m is the slope and b is the y-intercept. From this equation, we can find the y-intercept as ...

b = y -mx

For the given point and slope, this is ...

b = -6 -(-3/4)(-4) = -9

Then the slope-intercept equation is ...

y = -3/4x -9

We can multiply by 4 to get something we can put in standard form.

4y = -3x -36

3x +4y = -36 . . . . standard form equation