Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
(1)
Here m = 6 and b = - 2, then
y = 6x - 2
(2)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Here m = - 2 and b = 5, then
y = - 2x + 5 ← equation in slope- intercept form
Add 2x to both sides
2x + y = 5 ← equation in standard form
(3)
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)
m =
=
= - 1 , then
y = - x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 4, - 3 ) , then
- 3 = 4 + b ⇒ b = - 3 - 4 = - 7
y = - x - 7 ← equation in slope- intercept form
Add x to both sides
x + y = - 7 ← equation in standard form
<u>Answer:</u>

<u>Step-by-step explanation:</u>
<em>They want you to simplify the expression.</em>
<u>Step 1:</u><em> Apply the distributive property.</em>

<u>Step 2:</u> <em>Cancel the common factor of 5.</em>

<u>Step 3:</u> <em>Cancel the common factor of 5.</em>

<u>Step 4:</u> <em>Subtract 2x from x.</em>

Answer: 130°
Step-by-step explanation:
supplementary angle: ∠A+∠B=180°
x+(2x+30)=180
x+2x+30=180
3x+30=180
3x=150
x=50
2(50)+30=100+30=130°
Hope this helps!! :)
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Answer:
a). ΔABC ~ ΔBDC
b). m(BD) = 6 units
Step-by-step explanation:
If ΔABC ~ ΔBDC,
a). Ratio of the corresponding sides of both the triangles will be equal.




Since Ratio of the corresponding sides are same, therefore, both the triangles are similar.
b). 

BD = 
BD = 6