Question

Find the slope and the y intercept, then use them to write the equation of the line in slope-intercept form

Answer 1

y=-2x+1

Step-by-step explanation:

The slope-intercept form of the equation of a straight line is:

y=mx+b where:

• m=slope

,

• b=y-intercept

First, we determine the slope using any two points on the line.

The points chosen are: (0,1) and (-1,3)

`\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =(1-3)/(0-(-1)) \\ =-(2)/(1) \\ m=-2 \end{gathered}`

The graph cuts the y-axis at y=1.

Therefore: b=1

The equation of the line in slope-intercept form is:

`y=-2x+1`