Answer:
tried my best to show on that
Step-by-step explanation:
Answer:
y = ½x - 11
Step-by-step explanation:
The equation of the line that goes through (8, -7) and is parallel to -2x + 4y = 100, will have the same slope as the line, but different y-intercept (b).
Let's find the slope of -2x + 4y = 100 by rewriting in the slope-intercept form.
-2x + 4y = 100
Add 2x to both sides
4y = 2x + 100
Divide both sides by 4
y = 2x/4 + 100/4
y = ½x + 25
The slope of the given line is ½. Since the line that goes through (8, -7) is parallel to -2x + 4y = 100, therefore the slope (m) is also ½.
To find the y-intercept (b), substitute m = ½, x = 8, and y = -7 into y = mx + b.
-7 = ½(8) + b
-7 = 4 + b
-7 - 4 = b
-11 = b
b = -11
Substitute m = ½ and b = -11 into y = mx + b to get the equation of the line that is parallel to -2x + 4y = 100.
y = ½x + (-11)
y = ½x - 11
Answer:
67.5?
Step-by-step explanation:
the top two looked like the same degree so solve 2x+10=145 ig
One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd
mart [117]
Answer:
The lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
Remember that
The formula to calculate the slope between two points is equal to
<em>Find the slope of the first line</em>
we have the points
(-3,-1) and (1,-9)
substitute in the formula
<em>Find the slope of the second line</em>
we have the points
(1,4) and (5,6)
substitute in the formula
Simplify
<em>Compare the slopes</em>
Find out the product

therefore
The lines are perpendicular