Question

What is the equation of the line that contains the points with (x,y) coordinates (-3,7) and (5,-1)?

Answer 1

The equation of a line in slope-intercept form is:
y = mx + b
You need to find two things, m and b
m is the slope, and the slope is the difference in y over the difference in x
Take your two given points (-3, 7) and (5, -1)
the difference in y is (-1) - 7 = -8
the difference in x is 5 - (-3) = 8
m = (-8)/8 = -1
Now insert one point and m into the equation.
y = mx + b
Let's use (5, -1), and m = -1
-1 = -1(5) + b
-1 = -5 + b
Add 5 to both sides
4 = b
Since we now know m = -1 and b = 4, we insert those values into the equation of a line:
y = mx + b
y = -x +4 Final answer

Answer 2

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