Graph y+6=45(x+3) using the point and slope given in the equation
1 answer:
Step-by-step explanation:
We have been given an equation y+6=45(x+3) in point slope form.
It says to use the point and slope from given equation to create the graph.
So compare equation y+6=45(x+3) with point slope formula
y-y1=m(x-x1)
we see that m=45, x1=-3 and y1=-6
Hence first point is at (-3,-6)
slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).
Now we just graph both points (-3,-6) and (-2,39) and join them by a straight line. Final graph will look like the attached graph.
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Answer:
Step-by-step explanation:
The constant of proportionality is the slope of the line joining the two points
(70,40) and (49,28).
Recall the slope formula:
We substitute the point to get:
<u>Alternatively</u>:
A proportional relation is given by
where k is the constant of proportionality.
Using any point, we substitute and solve for k.
Answer:
x = 9√3
y = 18
Step-by-step explanation:
Given the angle measures and given length of the triangle, we can see that this is a 30-60-90 triangle which means the angle measures are 30°, 60° and 90°. A 30-60-90 triangle has special side lengths as indicated in the diagram below. Since the length given is across from the 30° angle, then x = 9.
In this diagram, x = x√3 or 9√3 and y = 2x or 9(2) = 18.
