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# Coordinates

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Line $l_1$ represents the graph of 3x + 4y = -14. Line $l_2$ passes through the point $(-5,-7)$, and is perpendicular to line $l_1$. If line $l_2$ represents the graph of y=mx +b, then find m+b.

Dec 27, 2021

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If line $l_2$ represents the graph of y=mx +b, then find m+b.

Hello Guest!

P ( -5, -7)

$$f(x)=-\frac{3}{4}x-3.5$$

$$m_1=-\frac{3}{4}\\ m_2=\frac{4}{3}$$

$$g(x)=m(x-x_P)+y_P$$

$$g(x)=\frac{4}{3}(x+5)-7$$

$$g(x)=\frac{4}{3}x-\frac{1}{3}$$

$$y=mx+b$$

$$m+b=1$$

!

Dec 28, 2021
edited by asinus  Dec 28, 2021