What is the equation of the line shown in the graph? A function graph of a line with two points (-3,-2) and (-1,2) with an x axi
s of negative five to five and a y axis of negative five to five Drag and drop the expressions to write the equation of the line in slope-intercept form. y = _ + _ 阿ㄐ高
My Work: Say that the slop is "a" and that the y-intercept is "b".
For the slope: First coordinate equation: -3=-2a+b Second coordinate equation: -1=2a+b Combine the equations. -3-(-1)=-2a-(2a)+b-(b) Break down the parenthesis. -3+1=-2a-2a+b-b Simplify the equation. -2=-4a Divide both sides by -4 to get the answer to the slope. a=1/2
For the y-intercept: Use the second coordinate's equation and the now known slope. -3=-2*1/2+b Multiply -2 by 1/2 (Order of Operations). -3=-1+b Add +1 to both sides to cancel the -1. -3+1=b Finally, solve the solve -3+1 to get the answer to the y-intercept. b=-2