Answer:
y=\frac{10}{3} x-2
Step-by-step explanation:
Notice that they are giving you two points on the plane that the line goes through:
1) the point (6,18), and
2) the point (0,-2) which is in fact the intersection of the line with the y axis.
So we use them to calculate first the slope of the line with the formula:
[tex]slope= \frac{y_2-y_1}{x_2-x_1} \\slope=\frac{18-(-2)}{6-0} \\slope=\frac{20}{6} =\frac{10}{3}[/tex]
Now that we know the slope, we can use it in the general "slope-intercept" form of a line and at the same time using the fact that we know the line's y-intercept (-2):
[tex]y=mx+b\\y=\frac{10}{3} x+(-2)\\y=\frac{10}{3} x-2[/tex]
