Equation of a line contains (1,-3) and (7,15)

The equation of the line would be y = 3x - 6

Step-by-step explanation:

In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.

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

m = (15 - -3)/(7 - 1)

m = 18/6

m = 3

Now that we have this, we can use point-slope form along with one of the points to get the equation.

y - y1 = m(x -x1)

y + 3 = 3(x - 1)

y + 3 = 3x - 3

y = 3x - 6

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