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# Coordinates

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The equation of the line that passes through the points (-3,5) and (0,-14) can be expressed in the form y=mx+b. What is the value of m+b?

Jan 7, 2022

#1
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What is the value of m+b?

Hello guest!

$$P_1(-3,5),\ P_2(0,-14)\\ {\color{blue}m=}\frac{y_2-y_1}{x_2-x_1}=\color{blue} -\frac{19}{3}\\ f(x)=m(x+3)+5=-\frac{19}{3}x-19+5$$

$$f(x)=-\frac{19}{3}x-14$$

$$m+b=-30\frac{1}{3}$$

!

Jan 7, 2022