Question

What is the point-slope form of a line with slope 2 that contains the point (1,3)

Answer 1

Y - 3 = 2(x - 1)

Answer 2

y = (2x + 1) is the equation of the line.

Explanation:

The given point which lies on the line is (1, 3) and slope of the line is 2.

Let the equation of the line is y = mx + c

since m = 2

then y = 2x + c

And point (1, 3) lies on the line so by putting the value of x and y in the equation.

3 = 2×1 + c

c = 3 - 2 = 1

Therefore the equation of the line is y = 2x + 1

Answer is y = 2x + 1