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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?

 Jun 11, 2021
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The slope of two points is $\frac{y_1-y_2}{x_1-x_2}$. In order for the slope to be $\frac{1}{7}$, this equation has to equal $\frac{1}{7}$. 

 

Plugging in values gives $\frac{4-y}{-3-4} = \frac{1}{7}$. Solving this equation gives $y = \boxed{5}$. 

 Jun 11, 2021

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