Question

# Find the equation of line as shown in the given graph.

A
y=6x+14
B
y=x4+6
C
y=4x+6
D
y=6x+4

Solution

## The correct option is A $$y=\dfrac{x}{4}+6$$In given graph, line goes to point $$(-8,4)$$ and $$(8,8)$$Then slope of line $$=$$ $$\dfrac{8-4}{8-(-8)}=\dfrac{4}{16}=\dfrac{1}{4}$$Then the line passes throw point $$(8,8)$$, point $$(x,y)$$ and slope $$\dfrac{1}{4}$$ is$$y-8=\dfrac{1}{4}(x-8)$$$$\Rightarrow y-8=\dfrac{x}{4}-\dfrac{8}{4}$$$$\Rightarrow y=\dfrac{x}{4}-2+8$$$$\Rightarrow y=\dfrac{x}{4}+6$$Mathematics

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