Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
y - 3x = 2 Add 3x on both sides to change the equation to slope-intercept form
y - 3x + 3x = 2 + 3x
y = 3x + 2 The slope is 3, so the parallel line's slope is also 3.
Now that you know the slope, substitute/plug it into the equation
y = mx + b
y = 3x + b To find "b", plug in the point (6, 1) into the equation, then isolate/get the variable "b" by itself
1 = 3(6) + b
1 = 18 + b Subtract 18 on both sides to get "b" by itself
1 - 18 = 18 - 18 + b
-17 = b
y = 3x - 17 Your answer is the 1st option
Answer:
For #2: It's C. 17 nickels and 15 quarters.
Step-by-step explanation:
17*5= 85
15*25= 375
375+85= 460
add in the decimal:
17* 5 cents= $.85
15* 25 cents= $3.75
$3.75+ $.85= $4.60
That arrow helps a lot.
One
Scale factor = 21/14 = (3*7)/(2*7) = 3/2 the sevens cancel out.
Two
Scale factor = 24/18 = (6 *4) / (6 * 3) The 6s cancel out
Scale factor = 4/3
Answer:
x = 12 and x = -9
Step-by-step explanation:
2x-20 = 4
2x = 24
x = 12
-2x = 18
x = -9
The function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.
<h3>What is continuity of a function?</h3>
It is defined as the property of a function in which the function varies continuous, and we plot the graph of a function it doesn't break.
We have a function:
If f(x) is a continuous, then it will follow:
f(2) = 2² - 2 = 4 - 2 = 2
Left-hand limit at 2 = right-hand limit at 2 = 2
Limit at 2 of a function = 2
Using limit, we can check the whether the function is differentiable or not.
Thus, the function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.
Learn more about the continuous function here:
brainly.com/question/21447009
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