Question

Write an equation in point-slope form of the line that passes through the point (0, 1/{2}) and has a slope of m= {3}/{4} .

Answer 1

To write the equation of a line in point-slope form, use the slope and coordinates of a point on the line. In this case, the equation is y - (1/2) = (3/4)x.

Step-by-step explanation:

To write the equation of a line in point-slope form, you need the slope of the line and the coordinates of a point on the line.

The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) represents the coordinates of the point and m is the slope.

In this case, the coordinates of the point are (0, 1/2) and the slope is 3/4.

Substituting the values into the point-slope form, we get y - (1/2) = (3/4)(x - 0).

Simplifying the equation gives y - (1/2) = (3/4)x.

This is the equation of the line in point-slope form.