Question

Write the slope-intercept form of the equation of the line graphed on the coordinate plane.

Answer 1

The slope-intercept form is:

`y\text{ = mx + b}`

We have to find these coefficients. To do that we have to choose two points in the graph and apply the following formula. I will use (0,1) and (-1,-1). The formula is:

`y-yo\text{ = m(x-xo)}`

The formula of the coefficient 'm' is:

`m\text{ = }(y2-y1)/(x2-x1)`

Let's substitute the points into the formula above to find the value of m. Then we use one of the points to find the slope-intercept form of the equation:

`m\text{ = }(-1-1)/(-1-0)=2`

Applying it to the second equation using the point (0,1):

`y-1=2(x-0)`

`y=2x+1`

Answer: The slope-intercept form of the equation will be 2x+1.