Answer:
Explanation:
a) The slope of the line passing through the points (5,6) and (-1,6) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (5,6) and (x2, y2) = (-1,6).
m = (6 - 6) / (-1 - 5) = 0 / -6 = 0
Therefore, the slope of the line is 0.
b) The slope of the line passing through the points (3,-2) and (3,-1) cannot be calculated using the previous formula since the points have the same x coordinate. This means that the line is vertical and therefore its slope is infinite (or undefined).
c) The slope of the line passing through the points (2,2) and (-5,2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (2,2) and (x2, y2) = (-5,2).
m = (2 - 2) / (-5 - 2) = 0 / -7 = 0
Therefore, the slope of the line is 0.
d) The slope of the line passing through the points (9,-2) and (-7,-2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (9,-2) and (x2, y2) = (-7,-2).
m = (-2 - (-2)) / (-7 - 9) = 0 / -16 = 0
Therefore, the slope of the line is 0.
e) The slope of the line passing through the points (-8,22) and (1,4) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-8,22) and (x2, y2) = (1,4).
m = (4 - 22) / (1 - (-8)) = -18 / 9 = -2
Therefore, the slope of the line is -2.
f) Since we know the slope m = 2 and one of the points is (3,6), we can use the formula:
y - y1 = m(x - x1)
where (x1, y1) = (3,6). Substituting m and (x1, y1) into the formula, we get:
y - 6 = 2(x - 3)
Expanding the formula and solving for y, we get:
y = 2x - 6 + 6
y = 2x
Therefore, the y-coordinate of the second point is y = 2(4) = 8. The second point is (4,8).