Question

Given y - 3 = -7(x - 8), what is the slope of this line?

a.) 3
b.) -7
c.) 8
d.) -3
2.) Given y - 3 = -7(x - 8), what is a point on this line?
a.) (3, 8)
b.) (-7, 0)
c.) (8, 3)
d.) (0, 8)

Answer 1

The slope of the line defined by y - 3 = -7(x - 8) is -7, which is (b). A point on this line is (8, 3), corresponding to option (c).

Step-by-step explanation:

To determine the slope of the line given by the equation y - 3 = -7(x - 8), we can look at the coefficient of the x term. The equation is in point-slope form, and the slope corresponds to this coefficient. Thus, the slope of the line is -7, which corresponds to answer choice (b). For the second question, we are seeking a point on this line. Since the equation is already given in a form that indicates a specific point through which the line passes, namely (x, y) = (8, 3), when x is 8, y will be 3 after applying the equation. So the point (8, 3) on the line is the answer, which is choice (c).