Answer:
The equation of line is y = 3 x +18
Step-by-step explanation:
Given as :
The points are
(
, 
) = (- 9, -9)
(
, 
) = (- 6 , 0)
Let The slope = m
Now,<u> The slope is calculated in points form</u>
So, Slope = 
I.e m =
or, m = 
or, m = 
I.e m = 3
So, The slope of points = m = 3
<u>Now, the equation of line in slope - point form can be written as</u>
y - = m ( x - )
where m is the slope of line
i.e y - (-9) = ( 3 ) × ( x - (-9) )
or, y + 9 = 3 × (x + 9)
∴ y + 9 = 3 x + 27
Or, y = 3 x + 27 - 9
O,r y = 3 x + 18
So, The equation of line is y = 3 x + 18
Hence, The equation of line is y = 3 x +18 . Answer
Answer:
the meaning of logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Step-by-step explanation:
: )
Answer:
- 8x + 17
Step-by-step explanation:
7(2 - x) - (x - 3)
14 - 7x - x + 3
- 8x + 14 + 3
- 8x + 17
Problem 3
<h3>Answer: 1/5 of a gallon per minute</h3>
-------------------------
Explanation:
Two points from the graph are (10,2) and (20,4)
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (4-2)/(20-10)
m = 2/10
m = 1/5
The slope of the graph is 1/5.
Do the same for two points from the table. I'll use the first two rows
m = (y2-y1)/(x2-x1)
m = (4-2)/(10-5)
m = 2/5
The slope of the table is 2/5.
Subtract the two slopes to wrap things up:
2/5 - 1/5 = (2-1)/5 = 1/5
=====================================================
Problem 5
<h3>Answer:
23 degrees</h3>
------------------------
Explanation:
Angles 1 and 3 are same side exterior angles, so they are supplementary due to the parallel lines set up here.
(angle1)+(angle3) = 180
(157) + (angle3) = 180
angle3 = 180-157
angle3 = 23 degrees
