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.
<u>Given the following data;</u>
Equation of straight line is
To find the intersection;
<em>When y = 0, the equation crosses the x-axis. </em>
y = 0;
<em>Substituting into the equation, we have;</em>
0 = 2x - 6
2x = 6
x = 6/2 = 3
x = 3
(x, y) = (3, 0) on the x-axis.
<em>When x = 0, the equation crosses the y-axis. </em>
x = 0;
<em>Substituting into the equation, we have;</em>
y = 2(0) - 6
y = 0 - 6
y = -6.
(x, y) = (0, -6) on the y-axis.
<em>Therefore, the coordinates of the intersection of the graph is (3, 0) and (0, -6). </em>