Question

What are the intercepts of the graph of the equation 6 x − 1 . 5 y = 18?

Answer 1

For this case we have the following equation:

$6x-1.5y = 18$

We find the intersections with the axes:

• Intersection with the x axis:

Making$y = 0$ we have:

$6x-1.5 (0) = 18\\6x = 18\\x = \frac {18} {6}\\x = 3$

Thus, the intersection with the x-axis is:$(3,0)$

• Intersection with the y axis:

Making $x = 0$ we have:

$6 (0) -1.5y = 18\\-1.5y = 18\\y = \frac {18} {- 1.5}\\y = -12$

Thus, the intersection with the y-axis is$(0, -12)$

Answer:

The intersection with the x axis is: $(3,0)$

The intersection with the y axis is: $(0, -12)$