The slope-intercept form is:
[tex]y\text{ = mx + b}[/tex]
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:
[tex]y-yo\text{ = m(x-xo)}[/tex]
The formula of the coefficient 'm' is:
[tex]m\text{ = }\frac{y2-y1}{x2-x1}[/tex]
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:
[tex]m\text{ = }\frac{-1-1}{-1-0}=2[/tex]
Applying it to the second equation using the point (0,1):
[tex]y-1=2(x-0)[/tex]
[tex]y=2x+1[/tex]
Answer: The slope-intercept form of the equation will be 2x+1.
