Answer:
1. The slope of the line is -2
2. The y-intercept is 10
3. The equation in slope-intercept form is y = -2x + 10
Step-by-step explanation:
The slop-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
- The rule of the slope of the line using two points on the line (x1, y1) and (x2, y2) is m =
From the given table
∵ (2, 6) and (3, 4) are two points on the line
∴ x1 = 2 and y1 = 6
∴ x2 = 3 and y2 = 4
→ Substitute them in the rule of the slope above to find it
∵ m = 
= 
= -2
∴ m = -2
∴ The slope of the line is -2 ⇒ (1)
→ Substitute it in the form of the equation above
∴ y = -2x + b
→ To find b substitute x and y in the equation by the coordinates of
any point in the table
∵ (5, 0) is a point on the table
∴ x = 5 and y = 0
∵ 0 = -2(5) + b
∴ 0 = -10 + b
→ Add 10 to both sides
∵ 0 + 10 = -10 + 10 + b
∴ 10 = b
∴ The y-intercept is 10 ⇒ (2)
→ Substitute the value of b in the equation
∵ y = -2x + 10
∴ The equation in slope-intercept form is y = -2x + 10 ⇒ (3)
First, let's complete the angles in the triangle. Remember that the sum of the angles in a triangle is 180 degrees.
73 + 90 + x = 180
163 + x = 180
x = 17
So, the angle that completes the triangle is 17 degrees. If we look at that angle in the triangle and the one adjacent to it, we can see that those two angles form a linear pair (or are supplementary, both meaning that they add up to 180 degrees).
17 + x = 180
x = 163
So, 17's supplement is 163 degrees. The 163 degree angle corresponds with angle r, and corresponding angles are congruent.
Therefore, angle r is 163 degrees. The correct answer is option C.
Hope this helps!
Zach's score, Z, and Nathan's score, N, are related by the formula
2Z-11=N.
This is further explained below.
<h3>What
are algebraic expressions?</h3>
Generally, Assume Nathan has a score of N and Zach has a score of Z.
Zach's score is 11 points higher than Nathan's.
It implies,
N equals twice of Z minus 11.
We may format it as follows:
2Z - 11 = N
There are now four possible outcomes for these two brothers' scores:
Zach's score will be determined using algebraic formulas if Nathan's score is 81.
2Z - 11 = 81
2Z = 92
Z = 46
Zach's score will be 61 if Nathan receives a score of 111.
Zach's score will be 121 if Nathan's score is 231 or higher.
Zach's score will be 456 if Nathan's score is 901.
The formula 2Z - 11 = Z is a rule that connects Nathan's and Zach's scores.
Visit to learn more about algebraic expressions.
brainly.com/question/953809
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Answer:
Step-by-step explanation:
a = -4/3
d= -1 +4/3 =1/3
last term = 4 1/3 = 13/3
nth term = a +(n-1)d
Middle terms are 9the term and 10th term
Answer: <em>Line of reflection is y = 2 x + 2</em>
Step-by-step explanation: <em> I Hope this helps</em>
