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Sagot :
From the graph provided, we will need to find the slope and also coordinates in other to find the equation of the graph.
For the slope,
[tex]m=\frac{y_2-y_1}{x_2-x_{1_{}}_{}}_{}[/tex]From the graph,
Where x=0, y=0 which can be written in coordinates of (x2, y2) as (0, 0)
Where x=3.5, y=-7 which can be written in coordinates of (x1, y1) as (3.5, -7)
To find the slope,
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-(-7)}{0-3.5}=\frac{7}{-3.5}=-2_{}[/tex]The slope of the graph m is -2
The formula for the equation of a graph is,
[tex]\frac{y-y_1}{x-x_1}=m[/tex]Where (x1, y1) is (3.5, -7),
[tex]\begin{gathered} \frac{y-y_1}{x-x_1}=m \\ \frac{y-(-7)_{}}{x-(3.5)}=-2 \\ \frac{y+7}{x-3.5}=-2 \\ \text{Crossmultiply} \\ y+7=-2(x-3.5) \\ y+7=-2x+7 \\ y=-2x+7-7 \\ y=-2x \end{gathered}[/tex]Hence, the equation of the graph is deduced above.
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