13 points if you can answer the problem and teach me how to answer the problem servings(x) | total cost (y) 13 | 51 | 19 | 69 | 31 | 105 | 37 | 123 write a linear equation in slope intercept how much would 200 servings cost?

Y = 3X + 12

You are given several points on the line, so you can use a couple of them to find the slope, then write the equation in point-slope form and rearrange it to the desired form.

... slope = (change in Y)/(change in X)

Using the first two points, this is ...

... slope = (69 -51)/(19 -13) = 18/6 = 3

Point-Slope Form

The point-slope form of the equation of a line is usually written ...

... y -y1 = m(x -x1) . . . . . . where m = slope, (x1, y1) = point

This can be put into a y= form by adding y1:

... y = m(x -x1) +y1

Your Equation

Filling in m=3, (x1, y1) = (13, 51), the equation becomes

... y = 3(x -13) +51

... y = 3x -39 +51 . . . . . eliminate parentheses

... y = 3x +12 . . . . . . . . . simplify to slope-intercept form

Alternate Solution

Having found the slope to be 3, you can write the slope-intercept form and fill in what you know.

... y = mx + b . . . . . slope-intercept form

... 51 = 3·13 +b . . . . slope-intercept form with slope and first point filled in

... 51 -39 = b = 12 . . . . equation solved for b by subtracting 39

Now you know that the equation is

... y = 3x +12

i need a picure

step-by-step explanation: