Question

Write an equation for the line that passes through the two points:
(4,3), (6, -3)

Answer 1

y= -3x+15.

Explanation:

To solve this equation, we first need to calculate the slope of the equation:

m=
`(-3-3)/(6-4)` m=
`(-6)/(2)` m= -3.

Now, we can simply plug in our slope value into our line equation (y= mx+b) with one of the point listed to find our b value.

3= -3(4)+b

3= -12+b

15=b

Finally, the equation we get is:

y= -3x+15