Question

Given the points (-2,0)and(4,2) find the slope in y=Mx+b

Answer 1

`y = (1)/(3)x + (2)/(3)`

Explanation:

To find the slope, you can use the slope formula:

`(y2 - y1)/(x2 - x1)`

Where (x1, y1) is one set of coordinates with (x2, y2) being the second set.

Step 1 - Plug known values in:

`(2 - 0)/(4 -(-2))`

`\\(2)/(4 + 2)`

`\\(2)/(6)`

This simplifies to:

`\\(1)/(3)`

The equation y = mx + b states that the m variable is the slope with the b value being the y-intercept, so:

`y = (1)/(3)x + b`

Step 2 - Plug the variables of the second equation in to calculate y intercept:

`(4, 2)\\\\2 = (1)/(3)(4) + b\\2 = (4)/(3) + b`

Subtract
`(4)/(3)` from 2:

`2 - (4)/(3) = b\\(6)/(3) - (4)/(3) = b\\b = (2)/(3)`

Meaning the end equation is:

`y = (1)/(3)x + (2)/(3)`

Hope this helps!