The required equation of line parallel to given line is:
Step-by-step explanation:
Given equation of line is:
As the equation of line is in slope-intercept form, the co-efficient of x s the slope
Let m1 be the slope of given line
m1= 5/6
Let m2 be the slope of new line
As the slopes of two parllel lines are equal, so
m1 = m2
m2 = 5/6
The slope intercept form is:
Put m2 = 5/6 in equation
Putting the point in the equation
Putting the value of b, we get
Hence,
The required equation of line parallel to given line is:
Keywords: Slope intercept form, equation of line
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Answer:
C(x) = 12x + 1680
Slope = 12
Intercept = 1680
Step-by-step explanation:
Given that:
X1 = 60 chairs ; y1 = 2400
X2 = 260 chairs ; y2 = 4800
Obtain the slope ; m
m = y2 - y1 / x2 - x1
m = 4800 - 2400 / 260 - 60
m = 2400 / 200
m = 12
Using the point slope relation:
y - y1 = m(x - x1)
y - 2400 = 12(x - 60)
y - 2400 = 12x - 720
y = 12x - 720 + 2400
y = 12x + 1680
C(x) = 12x + 1680
From the general slope intercept equation :
y = mx + c
m = slope ; c = intercept
Hence,
C(x) = 12x + 1680
Slope = 12
Intercept = 1680
I think it represents the answer to the problem.
Each banner uses 40/9 4 4/9 so 40/9 = 4/40 Making the whole number of 4 and 5. I hope I helped. It’s a little hard to explain.
Answer:
BC = 9 miles
Step-by-step explanation:
Here, we are given ΔABC ∼ ΔEDC, which means both triangles are similar and they tend to have the same dimensions and properties.
To find the length of BC, we are given the proportion:
Where x represents the length BC.
Solving further, let's cross multiply
Solving for x, we have:
Lets divide both sides by 8
Therefore the distance BC is 9 miles
