Question

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Enter an equation in point-slope form for the line.
Slope is 9 and (-8, -1) is on the line.

The equation of the line in point slope form is:_____

Answer 1

Answer:

y+1=9(x+8)

Step-by-step explanation:

Point-Slope

$\displaystyle \large{y - y_1 = m(x - x_1)}$

We are given that the slope is 9 and thus m is 9 as m is defined as slope.

We are also given that a line contains (-8,-1) thus x1 = -8 and y1 = -1

We know that:-

• m = 9
• x1 = -8
• y1 = -1

Substitute these values in the equation.

$\displaystyle \large{y -( - 1) = 9(x - ( - 8))}$

Recall that negative times negative is positive.

$\displaystyle \large{y + 1= 9(x + 8)}$

And we're done!