Question

The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won: Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points) Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)

Answer 1

the guy above me is right

Explanation:

i got the same answers

hope this helps

Answer 2

Part A; Y - intercept = 4 matches,

Part B; y = 2x + 4

Part C; 30 Matches Won

Explanation:

The y - intercept is about 4 or so, and it represents the number of matches won in tennis. If we were to formulate the approximate equation for this data graph, knowing the y - intercept, let us calculate the slope;

`( 4, 10 ), ( 7, 16 )\\Slope = Change In y / Change In x,\\Slope = 16 - 10 / 7 - 4,\\\\\\Slope = 6 / 3 = ( About ) 2`

With the slope, let us formulate the equation of this line;

`y = mx + b, Where, m = slope, b = y - intercept\\\\Y - intercept = 4,\\Slope = 2\\\\y = 2x + 4`

13 months is represented by the x - axis, so let us plug it into the equation that we formulated and solve for y, the number of matches one;

`y = 2 * ( 13 ) + 4,\\y = 26 + 4 = 30\\\\30 Matches Won`