Question

Find the coordinates of the intersection of the graph of the line y=2x−6 with coordinate axes.

Answer 1

Answer:

x-intercept = 3

y-intercept = - 6

Step-by-step explanation:

The intersection of the line with the x-axis is known as the x-intercept and it's calculated by making y = 0.

Also, the intersection of the line with the y-axis is known as the y-intercept and it's calculated by making x = 0.  

Given the following data;

Equation of straight line is $y = 2x - 6$

To find the intersection;

When y = 0, the equation crosses the x-axis.

y = 0;

Substituting into the equation, we have;

0 = 2x - 6

2x = 6

x = 6/2 = 3

x = 3

(x, y) = (3, 0) on the x-axis.

When x = 0, the equation crosses the y-axis.

x = 0;

Substituting into the equation, we have;

y = 2(0) - 6

y = 0 - 6

y = -6.

(x, y) = (0, -6) on the y-axis.

Therefore, the coordinates of the intersection of the graph is (3, 0) and (0, -6).