Solve the equation 186+10x=25.5x to find how many diving lessons x Jacy can take for the cost to be the same with and without a membership. __ lesson(s)

Answer (assuming it can be in slope-intercept form):

Step-by-step explanation:

When knowing the y-intercept and a slope of a line, you can write its equation in slope-intercept form, or y = mx + b format.  

1) First, find the slope. Use two points from the graph. We can see that the points (0,2) and (4,5) are on the line, therefore substitute their x and y values into the slope formula and solve:

Thus, the slope is .

2) Next, find the y-intercept of the line by looking at the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that that point is (0,2), thus 2 is the y-intercept.

3) Now, using the slope-intercept formula , substitute the found values for the  and the to write the equation of the line.

Since represents the slope, substitute in its place. Since represents the y-intercept, substitute 2 in its place. This gives the following answer and equation: