Question

Find the equation of the line, in slope-intercept form, containing the points (4.1,3.3) and (2.3,6.3).

y = f(x) =

Answer 1

Answer: y =
`(-5x)/(3) + (152)/(15)`

Explanation:

We know that if the equation is linear, it's in the form y = mx + c

Find the slope by finding the difference of of the y coordinates and dividing it by the difference of the x.
`(3.3-6.3)/(4.1-2.3)` =
`(-3)/(1.8)` =
`(-5)/(3)`

y =
`(-5x)/(3)` + c Now find c by using one of the coordinates and substituting into x and y.

3.3 =
`(-5(4.1))/(3)` + c

c =
`(152)/(15)`

So the equation is y =
`(-5x)/(3) + (152)/(15)`