Angie bought 10 paper tablecloths for $0.99 each, 4 packages of paper plates for $2.59 each, 1 case of plastic utensils for $10.
1 answer:
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Answer:
B
Step-by-step explanation:
The equations are:
2x + y - 7 = 0
and
1/3x + y -4 = 0
Let's rearrange the first to get:
y = -2x + 7
Putting this into the 2nd equation we get:
Now, y would be:
Solving the equation we see that there is 1 unique solution with 1 x value and another y values. That means, when graphing, the lines would intersect.
Answer choice B is right.
<u>Note:</u> Coincident means the same line and parallel means there would be no solution when solving
<em>Find the equation of the line passing through (4, 5) and parallel to </em>
<em> 3x-2y=4.</em>
<em />
<em> </em>
First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).
First, add 2y on both sides:-
Now, subtract 3x on both sides:-
Divide by 2 on both sides
Now, let's find the equation of the line that's parallel to the given line.
Remember, if lines are parallel to each other, then their slope's the same.
So the slope of the line that's parallel to the line whose equation we just found, is
Now let's write the equation in point-slope form:-
Replace numbers with letters, as follows:-
The equation above is the equation in point-slope form.
Incase you need it converted to slope intercept form, refer to the steps below ~
Multiply -3/2 times x and -4:-
Now, Add 5 on both sides:-
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