Question

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.

Answer 1

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)