Question

Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers.

Linear equations and graphs
ANSWERED
asked 2021-02-16
Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers.

Answers (1)

2021-02-17

First, we find the slope: \(\displaystyle{m}=\frac{{{y}{2}-{y}{1}}}{{{x}{2}-{x}{1}}}=\frac{{-{8}-{1}}}{{{5}-{2}}}=-\frac{{9}}{{3}}=-{3}\)
Use the slope-intercept form of a line and substitute the slope and a point, say (2,1) to find b: \(y=mx+b\)
\(1=-3(2)+b\)
\(1=-6+b\)
\(7=b\)
So, the equation of the linear function is \(y=-3x+7\)

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