Hey there!
Line passes through (4, -1) & is parallel to 2x -3y=9
Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.
The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.
Start off by subtracting 2x from both sides.
-3y = -2x + 9
Then, divide both sides by -3.
y = (-2x + 9)/-3
Simplify.
y = 2/3x - 3
"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.
We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.
Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).
y-y₁=m(x-x₁)
Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.
y - (-1) = 2/3(x - 4)
Simplify.
y + 1 = 2/3 + 8/3
Simplify by subtracting 1 from both sides.
y = 2/3x + 8/3 - 1
Simplify.
y = 2/3x + 5/3
~Hope I helped!~
Answer:
y = 100°
Step-by-step explanation:
I can't see the full question, but I'm guessing you need to find the measure of angle y.
The total angle sum of a polygon can be calculated with the formula
T = 180°(n - 2) where T is the total angle measure, and n i the number of sides.
For our shape, there are 4 sides, so n = 4. Plug that in and simplify...
T = 180°(4 - 2)
T = 180°(2)
T = 360°
We are given 3 of the angles, so angle y is
y = 360 - 107 - 104 - 49
y = 100°
Answer:
6.19
Step-by-step explanation:
I hope this helps you
