to find the x and y-intercept, we can write an equation in slope intercept form. first, we need to find the slope the formula for slope is m= (y₂-y₁)/(x₂-x₁)
now just put any two points into the equation m=(10-5)/(-9-(-15) m=5/6
so now we can write the slope-intercept equation y=5/6x + b
in a slope-intercept equation, b is equal to the y-intercept, so we can take one of our 3 pairs of points and put them into the equation to solve for b
15= 5/6(-3) +b 15=-2.5 + b 17.5 = b so now we know the y-intercept is (0,17.5)
now we can write the equation as y= 5/6x + 17.5 since the x intercept is when y=0, we can set y to 0 and then solve for x 0= 5/6x +17.5 -17.5 = 5/6x -21 = x
by setting y to zero, we figured out that the x-intercept is (-21,0)
