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# Coordinates

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Given points P(-3,4) and Q(4,y) in a coordinate plane, for what value y of is the slope of the line through P and Q equal to 1/7?

Dec 29, 2021

#1
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For what value y of is the slope of the line through P and Q equal to 1/7?

Hello Guest!

$$m=\frac{y_Q-y_P}{x_Q-x_P}$$

$$\frac{1}{7}=\frac{y-4}{4-(-3)}\\ y-4=\frac{4+3}{7}\\ y=\frac{4+3}{7}+4\\ \color{blue}y=5$$

!

Dec 29, 2021