Question

A line has a slope of 7. For each pair of points in problems 9 to 12 that are on the line, use the slope formula to find the missing coordinate. - (6,Y) AND (2,-13)

A) Y = -6
B) Y = -14
C) Y = -20
D) Y = -10

Answer 1

To find the missing coordinate in the pair of points on the line with a slope of 7, we can use the slope formula. By substituting the given coordinates into the formula and simplifying the equation, we find that the missing coordinate is Y = -69.

Step-by-step explanation:

To find the missing coordinate, we can use the slope formula. The slope formula is given by:

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

Let the coordinates of the first point be (-6, Y) and the coordinates of the second point be (2, -13). We can substitute these values into the slope formula as follows:

7 = (-13 - Y)/(2 - (-6))

Simplifying the equation, we get:

7 = (-13 - Y)/8

Multiplying both sides of the equation by 8, we get:

56 = -13 - Y

Adding 13 to both sides of the equation, we get:

Y = -69

Therefore, the missing coordinate is Y = -69.