How to write the equation of a line that passes through (4,-3) and has a slope of -3/4?

ordewayaeroge9sqy

ordewayaeroge9sqy

Answered question

2023-02-22

How to write the equation of a line that passes through (4,-3) and has a slope of -3/4?

Answer & Explanation

Caltolmsn

Caltolmsn

Beginner2023-02-23Added 9 answers

y = m x + b
where:
m = slope of the line
b = y-intercept
the slope is already given ( - 3 4 ).
Finding the y-intercept is the only thing left to do.
We use the coordinates of a point that we know is on the line to find the y-intercept. Such a point was also given ( 4 , - 3 )
y = - 3 4 x + b
- 3 = - 3 4 ( 4 ) + b
- 3 = - 3 + b
b = 0
The line's equation is since the y-intercept is 0
y = - 3 4 x

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