Question

what is the equation of this line (2,4) (1,1)

Answer 1

Answer:

y=3x-2

Step-by-step explanation:

y2-y1 4-1 3

____ = __ = _

x2-x1 2-1 1

m=3

*******

y=mx+b

4=3•2+b

4=6+b

-2=b

*******

y=mx+b

y=3x-2

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Answer 2

Answer:

y = 3x - 2

Step-by-step explanation:

We can find the equation of a line that passes through these points using the elimination method.

First, let's write them in gradient-intercept form

4 = 2m + c

1 = m + c

Then we can eliminate to find m, then substitute m into one of our equations to find c. (see image for solving steps)

Once we have both variables we can write them into the line equation in the gradient-intercept form.

y = mx + c