Question

Write the equation of the line that passes through the points (7, 4) and(-1, -2).

Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answer 1

The equation of the line that passes through the points (7, 4) and (-1, -2) in fully reduced point-slope form is y - 4 = (3/4)(x - 7).

Step-by-step explanation:

To find the equation of the line that passes through the points (7, 4) and (-1, -2) in point-slope form, we first need to find the slope of the line. The slope is given by the formula:

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

Substituting the coordinates of the points, we have:

m = (-2 - 4) / (-1 - 7) = -6 / -8 = 3/4

Next, we can choose any of the given points to write the equation in point-slope form:

y - y1 = m(x - x1)

Using the point (7, 4), we have:

y - 4 = (3/4)(x - 7)

Therefore, the equation of the line that passes through the points (7, 4) and (-1, -2) in point-slope form is y - 4 = (3/4)(x - 7).