1 Answer

Jason Fritcher · Answer 1 · 2019-09-14T18:59:41+0000

Any straight line on the coordinate plane can be described by the equation

y=mx+b

Where:

x,y are the coordinates of any point on the line

m is the slope of the line

b is the intercept (where the line crosses the y-axis) .

The slope m can be found beetween two points:

m=(y_2-y_1)/(x_2-x_1) = (-3-3)/(1-(-5)) = -1

m and one of the known points is inserted in the equation y=mx+b

3=-1*-5+b ⇒
$1\cdot \:5+b=3$ ⇒
5+b-5=3-5 ⇒
b=-2

Then the equation is:

y = mx + b ⇒
y=-x-2

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