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

User Nev Stokes
by
4.4k points

1 Answer

3 votes

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

User Slackline
by
3.7k points