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how do i find an equation for a line passing through a point?

find the equation for the line passing through the points (-1/2 , 1) and (3 , 8)???

all answer are very much appreciated!! god bless!

Answers (2)

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y=2x+2

Or I think that's the answer!

The gradient of the line:

(X1 and Y1) = (-0.5,1)

(X2 and Y2) = (3,8)

Gradient = (Y2-Y1)/(X2 - X1)

Gradient = (8-1)/(3+0.5) = 2

Then you need to find the intercept.

so substitute X1 and Y1 or X2 and Y2 into the equation

y=2x+c

Using X2 and Y2

8=2x3 + c

8=6+c

8-6=c

c=2

Equation of line is y=2x+2

I'm not sure but I think that's how you work it out.