We can use slope-intercept form to write the equation: y = mx + b
m = slope
b = y-intercept
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First, solve for the slope.
Formula: y2-y1/x2-x1
= 2-4/3-1
= -2/2
= -1
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Second, let's solve for the y-intercept.
We can use the point -1 and (2, 4) to solve.
y = mx + b
Substitute.
4 = -1(2) + b
4 = -2 + b
Add 2 to both sides.
4 + 2 = -2 + b + 2
Simplify.
6 = b
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Now, complete the equation by filling in everything we solve for.
y = -1x + 6
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Best Regards,
Wolfyy
