You can put this solution on YOUR website! f(x)=-2x+7
To find the x-intercept, substitute in 0 for y and solve for x.
(0)=-2x+7
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
-2x+7=(0)
Remove the parentheses around the expression 0.
-2x+7=0
Since 7 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 7 from both sides.
-2x=-7
Divide each term in the equation by -2.
-(2x)/(-2)=-(7)/(-2)
Simplify the left-hand side of the equation by canceling the common factors.
x=-(7)/(-2)
Simplify the right-hand side of the equation by simplifying each term.
x=(7)/(2)
To find the y-intercept, substitute in 0 for x and solve for y.
y=-2(0)+7
Multiply -2 by each term inside the parentheses.
y=0+7
Solve the equation.
y=7
These are the x and y intercepts of the equation y=-2x+7.
x=(7)/(2), y=7
