# 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}

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

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.
$$-1=\frac{2}{5(1)+b}$$
$$-5=2(1)+5b$$
$$-5=2+5b$$
$$-7=5b$$
$$\frac{-7}{5}=b$$
$$y=\frac{2}{5x}-\frac{7}{5}$$

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