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Without plotting their graphs, find the coordinates of the points of intersection of the graph of the function y=13x−2.6 with the x and y-axis.

Respuesta :

Ashraf82

Answer:

The point of intersection withe x-axis is (0.2 , 0)

The point of intersection with y-axis is (0 , -2.6)

Step-by-step explanation:

∵ y = 13x - 2.6

* When the line represents y = 13x - 2.6 cross the x-axis at point (x , 0) and cross y-axis at point (0 , y)

* To find the point (x , 0) substitute y = 0 in the equation

∵ 0 = 13x - 2.6

∴ 13x = 2.6 ⇒ x = 2.6 ÷ 13

∴ x = 0.2

∴ The line cross x- axis at point (0.2 , 0)

* To find the point (0 , y) substitute x = 0 in the equation

∵ y = 13(0) - 2.6

∴ y = -2.6

∴ The line cross y- axis at point (0 , -2.6)

The coordinates of the points of intersection on the x-axis and y-axis are (0.2, 0) and (0, −2.6) respectively.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Without plotting their graphs, find the coordinates of the points of intersection of the graph of the function y = 13x − 2.6 with the x and y-axis.

We know that the value of y is zero on the x-axis.

13x − 2.6 = 0

        13x = 2.6

           x = 0.2

Similarly, the value of x is zero on the y-axis.

y = 13x − 2.6

y = 13(0) − 2.6

y = −2.6

More about the linear system link is given below.

https://brainly.com/question/20379472

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