<h3>
Answer:</h3>
A. y = (-6/5)x +10
<h3>
Step-by-step explanation:</h3>
The given line has a negative slope (downward to the right). The only equation offered with a negative slope is the one of selection A.
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<em>Complete working</em>
A parallel line will have the same slope. If there are less-obvious choices to select from, you need to know the slope of the given line. That is computed from ...
... slope = (change in y)/(change in x)
The coordinates of two points are given, so we can find the slope as ...
... slope = (-4-2)/(-1-(-6)) = -6/5
There are a number of ways to write the equation of a line, but in slope-intercept form, the slope is the coefficient of x. You will be looking for a choice that has an x-coefficient of -6/5.
Answer:
63/24
Step-by-step explanation:
First you change the whole 2 to have a fraction of 48/24.
Next you have change 5/8 so its denominator has a 24. So you multiple the 8 by 3 to get 5/24. But then you have to multiply the 5 by 3 also so it is still the same fraction just bigger and you get 15/24. Now add the 15/24 with 48/24 to get 63/24.
Hope this helps!
Parallel = same slope
Turn 3x + 4y = 12 into y = mx + b
3x - 12 = -4y
-4y = 3x - 12
Divide by -4
Y = -3/4x + 3
Now: y = -3/4x + b
Plug in the point (-2,-2)
-2 = -3/4(-2) + b
-2 = 1.5 + b
b = -3.5
Equation: y = -3/4x -3.5
(Check my work, correct me if I’m wrong)
(x - 4)(2x + 3)
Using foil:
2x^2 + 3x - 8x - 12
Simplify.
2x^2 - 5x - 12 is the product after using FOIL.
