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Question

Find Three Equations that have an x-intercept at (-7,0)

 

 

I have solved other problems ,but i dont understand this do help me and explain the steps

Answer 1

It all depends whether the equations are of any type or of specific type (linear, quadratic, logarithmic, etc. ). The main idea is to understand that x-intercept for the equation means that the root of the equation is just that intercept.

 

For example, if x-intercept is (-7,0), then x=-7 is the root of the equation. The simplest equation, which root is x=-7 is the equation x+7=0; So the function y=x+7 will have x-intercept at (-7,0). Of course, if you multiply right-hand side by any number, x=-7 will still be a solution, therefore (-7,0) will still be the intercept. y=2x+14 or y=10x+70 are both linear functions with the same intercept (-7,0), since 2x+14=0 and 10x+70=0 both have x=-7 as a solution.

 

If you do not restrict yourself to linear equations, you can use other types of function. Example: y=ln(x+8); If you equate ln(x+8) to zero and solve, you will get x=-7 as a solution. So logarithmic function can have x=-7 intercept, too.