ᴘʟᴇᴀꜱᴇ ʜᴇʟᴘ, ɪᴛ'ꜱ ᴀʙᴏᴜᴛ ɢʀᴀᴘʜɪɴɢ ɪɴᴇQᴜᴀʟɪᴛɪᴇꜱ ɪ ᴏɴʟʏ ɴᴇᴇᴅ ᴘᴀʀᴛꜱ ʙ ᴀɴᴅ ᴄ
1 answer:
9514 1404 393
Explanation:
<u>Part B</u>:
Draw an open circle at x=5. Shade that portion of the number line that exists to the right of the open circle. The solution set is the shaded portion of the number line.
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<u>Part C</u>:
Any value from the shaded portion of the number line can be used to check the inequality is true. The value at the open circle, or any value to the left of it can be used to check that the inequality is false. For example, one might use values of -5, 5, and 10. Choosing values that are multiples of 5 can make the arithmetic easier.
<u>x = -5 (expect false)</u>
-2/5(-5) < -2
10 < -2 . . . . False
<u>x = 5 (expect false)</u>
-2/5(5) < -2
-2 < -2 . . . . False
<u>x = 10 (expect true)</u>
-2/5(10) < -2
-4 < -2 . . . . True
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Answer:
, or x-2y=14
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (2, -6) and is parallel to the line x-2y=8
First, we need to find the slope of x-2y=8, since parallel lines have the same slopes
We can convert the equation from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept), in order to help us find the slope of the line
Start by subtracting x from both sides
-2y=-x+8
Divide both sides by -2
y=-4
The slope of the line x-2y=8 is 1/2
It's also the slope of the line parallel to it.
Since we know the slope of the line, we can plug it into the equation for slope intercept form:
Now we need to find b.
As the equation of the line passes through (2, -6), we can use it to help solve for b
Substitute -6 as y and 2 as x:
Multiply
-6=1+b
Subtract 1 from both sides
-7=b
Substitute -7 as b into the equation:
The equation can be left as that, or you can convert it into standard form if you wish.
In that case, you will need to move 1/2x to the other side:
A rule about the coefficients a, b, and c in standard form is that a (coefficient in front of x) CANNOT be negative, and every coefficient must be an integer (a whole number, not a fraction or decimal).
So multiply both sides by -2 in order to clear the fraction, as well as change the sign of a
x-2y=14
Hope this helps!