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What is an equation of the line that passes through (-6,-5) (-2,3)

What is an equation of the line that passes through (-6,-5) (-2,3)-example-1

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Answer:

y= 2x+7

Explanation:

First find the slope of your line by doing у₁₋y₂/x₂₋x₁. In the case of this problem, your slope would be 2. Now insert your slope into slope-intercept form; you should have y=2x+b. Now to find b, substitute in either of the original coordinates to eliminate the variables. I chose to substitute (-2,3) for (x,y). This left me with 3=2(-2) +b. Solve the equation to get 7=b. Now put the slope and the intercept into the slope-intercept form and get y=2x+7.

Hope this helps!

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