Students

Teachers & SchoolsStudents

Teachers & SchoolsAlgebra I Drill 3 Problem 3. What is the x-intercept of the equation?

Algebra | Coordinates and Graphs |

Algebra I | x- and y-intercepts |

CAHSEE Math | Algebra I |

Language | English Language |

Systems of Equations | Graphing |

That is, the x intercept is where the line crosses the x axis like… here… and the

y axis is where it crosses… yes, shocker… the Y axis… here.

So to solve the problem, we have to figure out what y is when x equals zero, and vice versa.

We can just plug in zero for x in the equation, to get 2 times zero, which is zero…

minus 7y equals 14.

Divide both sides by negative 7 and we get y equals negative 2.

Yeah, we didn’t HAVE to do that part to answer the question but it can’t hurt to

know for future reference.

Now we can plug in 0 for y to get 2x minus 7 times zero, which is 0, equals 14…

…so 2x equals 14. Now divide both sides by 2 and x equals 7.

The line crosses the x axis when x equals 7…

…and so our answer is D. Done.