Which equation represents the graphed function

Asked by maham237 @ 28/12/2020 in Mathematics viewed by 304 People

Which equation represents the graphed function?
A. –3x + 2 = y
B. –x + 2 = y
C. x – 3 = y
D. 2x – 3 = y

Answered by maham237 @ 28/12/2020

Solution:

we have been asked to find

Which equation represents the graphed function?

As we can see in the graph, the line is passing through the point (2,0) and (0,-3).

As we know the equation of the passing through two points is given by the formula

$(y-y_1)=m(x-x_1)\\
\\
m=slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-2}=\frac{3}{2} \\$

So the equation of the line will be

$y-0=\frac{3}{2}(x-2)\\
\\
y= \frac{3}{2}x-3\\
\\$

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