Question

An equation that goes through (-2,10) and (-10,6)

Answer 1

y-6 = -1/3(x-10)

Explanation:

Let's use point slope form! The form of this is y-y1 = m(x-x1) where m is the slope.We have points to use, so let's find the slope.

The slope is rise over run, so we take the difference in y and divide it by the difference in x. This gives us
`(10-6)/(-2-10)`, which simplifies to -1/3. Now we plug in a point, say (-2, 10) for x1 and y1, and -1/3 for the slope, which gives us y-6 = -1/3(x-10)

ALTERNATE WAY:

Another way you could approach this is to plug in both the points to solve for m. Plug in both the y-values(10, 6) for y and y1 and both the x-values(-2, -10) for x and x1.

This gives us
`10-6 = m(-2-10)`, which simplifies to
`4 = -12m`. Dividing both sides by -12 gives m = -1/3, which is the slope. Whichever way makes most sense works!

I hope this helps!

Answer 2

y-10= 1/2(x-2) --- point slope form

Explanation:

Point slope form is:

y- y1=m(x-x1)

y1= 10

m= y2-y1/x2-x1

y2= 6

x2= -10

x1= -2

Using point slope form and defining the variables using the given coordinates, the equation can be written.