Answer:
Step-by-step explanation:
12) A(x, 5) and B(-4,3)
slope = -1
We want to determine the value of x so that the line AB is parallel to another line whose slope is given as -1
Slope, m is expressed as change in y divided by change in x. This means
Slope = (y2 - y1)/(x2 - x1)
From the information given
y2= 3
y1 = 5
x2 = -4
x1 = x
Slope = (3-5) / (-4-x) = -2/-4-x
Recall, if two lines are parallel, it means that their slopes are equal. Since the slope of the parallel line is -1, therefore
-2/-4-x = -1
-2 = -1(-4-x)
-2 = 4 + x
x = -2 - 4 = - 6
x = -6
13) R(3, -5) and S(1, x)
slope = -2
We want to determine the value of x so that the line RS is parallel to another line whose slope is given as -2
Slope = (y2 - y1)/(x2 - x1)
From the information given
y2= x
y1 = -5
x2 = 1
x1 = 3
Slope = (x - -5) / (1 - 3) = (x+5)/-2
Since the slope of the parallel line is -2, therefore
(x+5)/-2 = -2
x + 5 = -2×-2
x + 5 = 4
x = 4 - 5 = - 1
