Slope-intercept form is y=mx+b where m is the slope and b is the intercept.
- To find the slope, use this equation y2-y1 over x2-x1 so we plug in those values into the equation
(5-3)/(-4 - -1) = (5-3)/(-4+1) = 2/-3 so we have the slope. To find the intercept, simply plug in one of the passing points into the equation y= -2/3x+b
3=-2/3(-1)+b -> 3=2/3+b -> 3-2/3=b -> 7/3=b
So the equation is
y=-2/3x+7/3 (simplify how you wish)
For the second problem, we already have the slope, so we don't need to do what we did in the previous problem. We have y=-2.5x+b - plug in those numbers to find the intercept!
1.5=-2.5(2)+b -> 1.5=-5+b -> 1.5+5=b -> 6.5=b
So you have the equation y=-2.5x+6.5 (please don't miss any negatives!)