Write the point-slope form of an equation of the line through the points (-7, 7) and (4, 1).

Choice B. .

Step-by-step explanation:

Start by finding the slope of this line. Let and represent two distinct points on a line on a Cartesian Plane. (That is, .) The slope of this line would be:

.

For the line in this question:

Indeed, . The slope of this line would thus be , which is equal to .

On a Cartesian Plane, the point-slope form of a line that has a slope of and includes the point can be written as:

.

(Note the minus signs in this form.)

For the line in this question, . There are two equivalent expressions for its point-slope form:

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction