Write the equation of the line through each point. We need to use slope-intercept form. (1, -1), parallel to y = frac{2}{5x - 3}

Question
Equations
asked 2021-03-06
Write the equation of the line through each point. We need to use slope-intercept form. (1, -1), parallel to \(y = \frac{2}{5x - 3}\)

Answers (1)

2021-03-07
Slope-intercept form is \(y= mx +b\)
Parallel means same slope different intercept.
Solve for b given point (1,-1)
Multiply both sides by 5.
Subtract 2 from each side.
Divide each side by 5.
\(-1=\frac{2}{5(1)+b}\)
\(-5=2(1)+5b\)
\(-5=2+5b\)
\(-7=5b\)
\(\frac{-7}{5}=b\)
\(y=\frac{2}{5x}-\frac{7}{5}\)
0

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