Question

INSTRUCTIONS: Find the slope of the line and enter it here: INSTRUCTIONS Find the slope of the line Find the intercept of the line enter it here Find the y-intercept of the line enter it here 3 3. Write the equation of the line in form yms Write the equation of the line in formy y=-2X + 4 20 21

Answer 1

To find the slope, we use the points (-1, -1,) and (0,2).

`m=(y_2-y_1)/(x_2-x_1)`

Where,

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

The slope is 3.

The y-intercept refers to the point where the line touches the vertical axis.

The y-intercept is (0,2).

Then, we use the point-slope formula to find the equation

`\begin{gathered} y-y_1=m(x-x_1) \\ y-(-1)=3(x-(-1)) \\ y+1=3x+3 \\ y=3x+3-1 \\ y=3x+2 \end{gathered}`

The equation of the line is y = 3x + 2.