1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is (-4 - -3)/(-3 - 0)= 1/3 Use one of the points of (x,y) to solve for b Y=1/3x + b -3 = 1/3(0) + b -3 = b so your slope intercept equation is Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0) = - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c Notice it is the same line as in the first graph so it's the same equation y = 1/3x - 3 First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3. 3y= x - 9. Now move the x over: -x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1: x - 3y = 9
