Which equation best represents the line that is parallel to 3x -4y=7 and passes through the point (-4,-2)? Select two options.
1 answer:
Answer:
The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2) is y = 3/4x + 1.
Step-by-step explanation:
3x - 4y = 7 and (-4, -2)
First, solve for y in the equation:
3x - 4y = 7
-4y = -3x + 7
4y = 3x - 7
y = 3/4x - 7/4
m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)
Use the point-slope equation to find the equation that will best represent a parallel line:
y − y1 = m(x − x1)
y - -2 = 3/4(x - -4)
y + 2 = 3/4x + 3 (the 4s cancel out)
(3/4 x 4/1 = 3)
y = 3/4x + 1
The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!
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Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:
We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:
Subtract:
Square:
Add:
Approximate
So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!
The area of rectangular garden is
Given that a rectangular garden has width = 4x - 6
Length of rectangular garden = 2x + 4
To find: area of rectangular garden
<em><u>The area of rectangle is given as:</u></em>
Substituting the values in given formula,
Thus the area of rectangular garden is