the x intercept is when the line passes through the x axis or when y=0 the y intercept is when the line passes through the y axis or when x=0
so we need to find the equation in slope intercept form or y=mx+b where m=slope or rise over run and b is y intercept
we plot the points and find that the slope is 9/5 so y=9/5x+b we subsitute one of the values -3=9/5(-4)+b -3=-36/5+b 36/5=7 1/5 -3=-7 1/5+b b-3=-7 1/5 b=-4 1/5
the equation is y=9/5x-4 and 1/5 or y=9/5x-21/5
x intercept y=0 0=9/5x-21/5 21/5=9/5x multiply both sides by 5/9 65/45=1/1x x=21/9=7/3 x intercept=7/3
y intercept x=0 y=9/5(0)-21/5 y=-21/5 y intercept=-21/5