Question

6x + 7y = 42

(a) Give any two points that lie on the line, and use them to determine the slope.

Answer 1

To determine the slope of the line passing through the given points, use the formula (y2 - y1) / (x2 - x1). Substitute the values and calculate to find the slope.

Step-by-step explanation:

To determine the slope of a line, we need two points on the line. Let's use the points (1, 0.1) and (7, 26.8).

The formula for slope is:

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

Substituting the values, we get:

m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45

Therefore, the slope of the line passing through the given points is approximately 4.45.