The equation of the line is 17x-y+128=0
What is a line?
⇒ A line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.
What is the slope of a line?
⇒ The slope of a line, also known as the gradient is defined as the value of the steepness or the direction of a line in a coordinate plane.
Calculation:
We have to find the equation of the line passing through the points (-8,-8) and (-7, 9)
⇒ So first we have to find the slope of the line
We can find the slope by using the slope formula which is
⇒ m=(y2-y1)/(x2-x1) , slope is denoted by m
m=(9-{-8})/(-7-{-8})
m=17/1
m=17
So the slope of the line passing through the point(-8,-8) and (-7, 9) is 17
To find the equation of a line passing through (-8,-8) and having a slope of 17 can be found by applying the slope point formula
⇒ (y-y₁)=m(x-x₁)
(y-{-8})=17(x-{-8})
y+8=17(x+8)
y+8=17x+136
So the equation of the line is 17x-y+128=0
Learn more about the equation of line here:
brainly.com/question/4010502
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