To find the x-intercept, substitute in 00 for yy and solve for xx.(0)=7x−5(0)=7x-5Rewrite the equation as 7x−5=07x-5=0.7x−5=07x-5=0Since −5-5 does not contain the variable to solve for, move it to the right side of the equation by adding 55 to both sides.7x=57x=5Divide each term by 77 and simplify.
x=57x=57To find the y-intercept, substitute in 00 for xx and solve for yy.y=7(0)−5y=7(0)-5Solve the equation.
y=−5y=-5These are the xx and yy intercepts of the equation y=7x−5y=7x-5.x-intercept: (57,0)(57,0)y-intercept: (0,−5)