- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
- Slope Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:
[tex]\frac{1-2}{1-(-3)}=-\frac{1}{4}[/tex]
Next, plug either one of the points into the x and y coordinates to solve for b as such:
[tex]2=-\frac{1}{4}*-3+b\\2=\frac{3}{4}+b\\\frac{5}{4}=b[/tex]
Our final equation is [tex]y=-\frac{1}{4}x+\frac{5}{4}[/tex] , or the third option.
