Question

Jesus wants to start saving for college. His parents started an account for him that currently has $325. Jesus adds $50 each month. Find the slope and y-intercept for the data.

slope:
y-intercept:

Answer 1

• The slope = m = 50

• y - intercept = c = 325

Explanation:

• As saving account contains $325.

• Jesus adds $50 each month.

Let us denote:

• the 'total money in account' as 'y', and

• the 'number of months' as 'x'.

so the equation becomes

`y(x) = 50x + 325`

As the slope-intercept form is defined as

`y = mx + b`

Here,

• m = slope

• b = y-intercept

Comparing the equation with the slope-intercept form

`y(x) = 50x + 325`

`m = 50` ∵
`y = mx + b`

`b = 325`

The slope m represents the rate of change, and the y-intercept basically a value at x = 0.

Therefore,

• The slope = m = 50

• y - intercept = c = 325