Answer:
x = 18
Step-by-step explanation:
By the rule of Consecutive Interior Angles which define what these angles are, they both will add up to 180. As such we can put the sum of these two angles set equal to 180, and solve algebraically
(8x - 20) + (3x + 2) = 180
8x - 20 + 3x + 2 = 180
11x - 18 = 180
<u> + 18 +18</u>
11x = 198
x = 198/11
x = 18
Answer:
The answer is y = 4x - 1
Step-by-step explanation:
First find two points on the line.
I will be using (-1, -5) & (1, 3).
Using the formula for slope, substitute in the values and solve:
y2-y1/x2-x1(This is the formula)
3--5/1--1(When using this formula, if y1 or x1 are negative, make them positive.)
3+5/1+1 or 8/2; which simplifies into 4/1.
So, the slope is 4/1.
Now we use point-slope form:
y - y1 = m(x-x1)
1. Substitute in the values.
y--5 = 4/1(x--1)
2. Simplify and distribute.
y + 5 = 4/1x + 4
3. Subtract 5 from both sides.
y = 4/1x - 1
4. Simplify.
y = 4x - 1