I have to write the slope, and also use point slope to write as my answers

## Write the Equation of a line that passes through (4,7) and has slope of -3/4

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# 2 Answers

Hi Andrew;

The point-slope formula is as follows...

y-y

_{1}=m(x-x_{1})m=slope

Let's plug-in...

y-7=(-3/4)(x-4)

y-7=[(-3/4)(x)]+3

Let's add 7 to both sides of the equation...

7+y-7=[(-3/4)(x)]+3+7

y=(-3/4)x+10

Try this:

Slope intercept form is y = mx + b ; m = slope.

y = -3/4x +b

If it passes through (4,7), plug those numbers in, 4 for x and 7 for y to find b (the constant)

7 = -3/4 (4) + b

7 = -3 + b Remember -3/4 * 4 = -3/4 * 4/1 (whole number converts to fraction by dividing by 1)

Add 3 to each side to get your constant "b".

b = 10

y = -3/4 x + 10

Knowing the slope intercept form is faster than figuring it out from the definition of slope. Slope requires knowing 2 points, not just one. The slope intercept form is easier to memorize and requires only two pieces of information - the slop and ONE
point on the line.

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