What is the equation of the line that passes through (-9, -3) and has a slope of -6?

turrretzhlw

turrretzhlw

Answered question

2022-12-23

What is the equation of the line that passes through (-9, -3) and has a slope of -6?

Answer & Explanation

feod4rs

feod4rs

Beginner2022-12-24Added 6 answers

We can use the point-slope formula to find the equation to answer this problem. The point-slope formula states: (yy1)=m(xx1)
Where m is the slope and (x1y1) is a point the line passes through.
The result of substituting the problem's slope and point is:
#(y - color(red)(-3)) = color(blue)(-6)(x - color(red)(-9))#
#(y + color(red)(3)) = color(blue)(-6)(x + color(red)(9))#
To convert the equation to slope-intercept form, we can also solve for y. The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
y+3)=(6×x)+(6×9)
y+3=6x54
y+33=6x543
y+0=6x57
y=6x57

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