Question

Write an equation for the graph. be sure to use slope-intercept form.

Answer 1

The equation of the graph is in the form of y =mx + c

where m = slope

and

c = y - intercept

from the graph the y - intercept is 5

so c = 5

The equation now becomes y = mx +5 after substitution but this not the required equation yet. We still need to find m

To find m we pick two points having coordinates of x and y and substitute them into the formular for the slope m

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} y_{2\text{ }}=5 \\ y_{1\text{ }}=2 \\ x_2=\text{ 0} \\ x_1=1 \end{gathered}`
`m\text{ = }(5-2)/(0-1)=(3)/(-1)=\text{ -3}`

Equation of the line now finally becomes y = -3x + 5