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 Question from Brittney, a student: write an equation in slope- intercept form of the line that is parallel to the graph of y=-3/4x+6 passes through -8,-5

Hi Brittney,

The slope-intercept form is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept. You want the line to be parallel to $y = -\frac34 x + 6$ so your line must have the same slope as $y = -\frac34 x + 6.$ That tells you the value of $m.$ Write the equation $y = mx + b$ with this value of $m$ and now all that is left is to determine $b.$

You know that (-8, -5) lies on the line so substitute $x = -8$ and $y = -5$ into the equation and solve for $b.$

Penny

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