<h3>
Answer: y - 4 = -2(x - 5)</h3>
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Explanation:
Point slope form is
y - y1 = m(x - x1)
where m is the slope and (x1,y1) is the point the line goes through.
Parallel lines have equal slopes but different y intercepts. The given equation y = -2x-3 has a slope of -2, meaning that m = -2 is also the slope of the mystery parallel line.
-2 will go in the second box that's just to the left of the parenthesis.
The coordinates of (5, 4) will go in the other remaining boxes to finish off the equation.
We go from this
y - y1 = m(x - x1)
to this
y - 4 = -2(x - 5)
Graph #1: No
Graph #2: Yes
Graph #3: No
Graph #4: No
Graph #5: No
Graph #6: Yes
Reasoning:
The vertical line test is a test that determines wether a graph is a function or a relation. The vertical line test shows that if you construct a vertical line through any point on the graph, then the vertical line should only intercept the graph once for it to be a function.
Answer:
Width= 120 ft
Length= 285 ft
Step-by-step explanation:
W= width and (3w-75)= length since it's 75 less than 3 times the width
w+w+(3w-75)+(3w-75)=810
8w-150=810
8w=960
w=120
So the width is 120 ft
Then substitute the 120 in for w in the length
L= 3(120)-75
L=360-75
L=285
So the length is 285 ft
You can check because 120+120+285+285=810, and because 120×3-75=285!
9514 1404 393
Answer:
$35/2
Step-by-step explanation:
Division by 2 is indicated by putting 2 in the denominator of the fraction:
35/2
Answer:
.
Step-by-step explanation:
Start by finding the slope of this line.
If a slanting line goes through
and
, where
, the slope of this line would be:
.
The line in this question goes through
and
. Hence, the slope of this line would be:
.
If a slanting line with a slope of
and goes through the point
, the equation of this line in the point-slope form would be:
.
For the line in this question, the slope is
. Take
as the chosen point on this line. The point-slope form equation of this line would be:
.
Rewrite to obtain the equation of this line in the slope-intercept form:
.