Answer:
a) D b)B
Step-by-step explanation:
a) the graph is of negative slope as it slants downwards hence slop/gradient is negative. y intercept is positive so only option d is right
b) sub each option point into 3y = 2x - 1 if they equate to be the same, it is correct.
3(2) = 2(6) - 1
6 = 11 (not equal)
3(1) = 2(2) - 1
3 = 3 (equal) this is the answer
of course you can sub in the rest to confirm but I'm lazy so yeah I'll stop here
Topic: Linear Graphs and its equations
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Solution for -3c-2=7 equation:
Simplifying
-3c + -2 = 7
Reorder the terms:
-2 + -3c = 7
Solving
-2 + -3c = 7
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -3c = 7 + 2
Combine like terms: -2 + 2 = 0
0 + -3c = 7 + 2
-3c = 7 + 2
Combine like terms: 7 + 2 = 9
-3c = 9
Divide each side by '-3'.
c = -3
Simplifying
c = -3
Answer:
Step-by-step explanation:
To convert decimals to fractions, you look at the place of the last digit of the fraction (i.e. the digit that the farthest right from the decimal)
For 0.3, 3 is in the tenths place, so we end up with the fraction 
For 0.46, 6 is in the hundreths place, so before simplifying we have 
The GCF of 46 and 100 is 2 so we divide the fraction by 
to get ÷ = 
For 0.075, the 5 is in the thousandths place, so before simplifying we have 
The GCF of 75 and 1000 is 25 so we decide the fraction by 
to get ÷ = 
A vertical line is a line that is straight up and down. It doesn't tilt. Think of a flagpole as one of many examples.
I suggest plotting the point (-0.4, 0.3) on the coordinate grid. Draw a vertical line through this point. You'll see that there are other points on this line such as...
(-0.4, 0) and (-0.4, 2) and (-0.4, 5)
and so on...
There are infinitely many points on this line. All of them have the same x coordinate of -0.4 since that's what the original point has. Y can be anything you want.
So the equation of this line is simply x = -0.4 to indicate "force x to be -0.4 and y can be whatever you want"
