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The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.
<h3>What is a linear function?</h3>A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For a line of best-fit, the y-intercept is given by:
The parameters in this problem are given as follows:
Then:
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
289 messages
equation:
graph: attached below
Step-by-step explanation:
We can write this in slope-intercept form, or . Since x is defined as the #of text messages, and 0.05 is the cost of a text message, 0.05 will be m. 45.5 is the base price, or the y-intercept, so it will be b.
Plugging in these numbers, we get
now we make y = 60, since that is the total amount they have
So, they can send 290 messages for 60, but they need the bill under 60, so 1 text message less will be 289, and that's enough.
