Answer:
y=2x+7
Step-by-step explanation:
When an equation is parallel to another, it shares the same slope.
Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)
This means that our slope is 2 because m represents the slope.
The slope of our parallel line will then also be 2.
<u>We can begin to plug that into point-slope form which is:</u>
y - y1 = m(x - x1)
This is where (x1, y1) is a point the line intersects, and m is the slope.
<u>Plugging in the slope, we'll have:</u>
y - y1 = 2(x - x1)
We also know it intersects the point (-4, -1)
We can plug this into our equation as well.
y - (-1) = m(x - (-4))
y+1=2(x+4)
<u>Now, we can simplify it into slope-intercept form:</u>
y+1=2(x+4)
Distribute
y+1=2x+8
Subtract 1 from both sides
y=2x+8-1
y=2x+7
Formula: y = mx + b
m being the slope
Slope given: -2, plug it in
Y = -2x + b
Now find y intercept (b)
Plug in the point (5,-11)
-11 = -2(5) + b
-11 = -10 + b, b = -1
Solution: y = -2x -1
Answer:
-20
Step-by-step explanation:
-3x - 7y = -5
Multiply each side by 4
4(-3x - 7y) = -5*4
-12x -28y = -20
Answer:
98
Step-by-step explanation:
Mathematically, when we add all the angles of a triangle, we get 180
Thus;
x + 1 + 2x-2+ 3x-5 = 180
6x-6 = 180
6x = 186
x = 186/6
x = 31
so the measure of the biggest angle is 3x -5
= 3(31) + 5 = 93 + 5 = 98