Question

Write in point-slope form an equation of the line that passes through the given point and has the given slope:

Point: (0, 1)
Slope: 2

a) y - 0 = 2(x - 1)
b) y + 1 = 2(x + 0)
c) y + 0 = 2(x + 1)
d) y - 1 = 2(x - 0)

Answer 1

To write the equation of a line in point-slope form, we use the formula y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Step-by-step explanation:

To write the equation of a line in point-slope form, we use the formula y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Given the point (0, 1) and the slope 2, we substitute these values into the formula to get y - 1 = 2(x - 0).

After simplifying, we find that the correct equation in point-slope form is: y - 1 = 2x.