Question

What is the equation of the line passing through the points (3,6) and (2,10)

Answer 1

Answer: y= - 4x+18

Explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

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

3= x1

2= x2

6= y1

10=y2

m=
`(10-6)/(2-3)`=
`(4)/(1)`= -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18