Question

A man decides to take out 70$ per month from his savings account. After 63 months, he has $2720 in his account. Identify the slope and point, then write a linear equation in point-slope form which models the amount in the savings in terms of the numbers of months.

point =
slope =
point-slope equation =

Answer 1

To find the slope and point, we use the given information to calculate the slope and then write the point-slope equation.

Step-by-step explanation:

To identify the slope and point, we need to use the given information. The man takes out $70 per month from his savings account for 63 months and ends up with $2720 in his account. We can use the point-slope formula to find the linear equation.

Slope = change in y / change in x = (2720 - 0) / (63 - 0) = 2720 / 63

Now we can write the equation using the point-slope form: y - y1 = m(x - x1). Choosing the point (0,0) for convenience, the equation becomes y - 0 = (2720 / 63)(x - 0).

Therefore, the point-slope equation is y = (2720 / 63)x.