What is the equation of the line that passes through point (6,18) and has a y-intercept of -2

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:

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):

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: