Question

Write an equation in slope-intercept form of the lineO24+2+4161O A y=-7xBy=2x + 7OCy=2x - 7D. Y:-7x + 2

Answer 1

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,

`m=\frac{y_2-y_1}{x_2-x_{1_{}}_{}}_{}`

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,

`m=(y_2-y_1)/(x_2-x_1)=(0-(-7))/(0-3.5)=(7)/(-3.5)=-2_{}`

The slope of the graph m is -2

The formula for the equation of a graph is,

`(y-y_1)/(x-x_1)=m`

Where (x1, y1) is (3.5, -7),

`\begin{gathered} (y-y_1)/(x-x_1)=m \\ \frac{y-(-7)_{}}{x-(3.5)}=-2 \\ (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}`

Hence, the equation of the graph is deduced above.