Which line on the graph represents the equation y=3x-2

Mathematics

1 answer:

Vika [28.1K]3 years ago

5 0

Answer:

Line A.

Step-by-step explanation:

When you put x as zero into 3x-2, you get 3(0)-2. That equals -2. Therefore, y = -2. When x=0, that is the y-intercept, so the y-intercept is -2. Line A crosses the y-axis at -2, so line A has that y-intercept.

Slope is always y/x. On a graph, that is the number of squares UP over the number of squares ACROSS. Counting, we get, 3 squares up over 1 square across for line A. 3/1= 3. The slope is the number we multiply by x. In the equation, that is 3, because we see 3x, and no sign or space between 2 numbers automatically means we multiply. So line A also has the correct slope.

In linear equations (straight lines), the same slope and y-intercept are enough to tell you that the equation matches the line.

Therefore, the answer is A!

You might be interested in

I need help with this problem what fractions are equivalent to 4.05 repeating

kow [346]

Answer:

401/99 and 802/198

Step-by-step explanation:

Unfortunately the other answer to this question is wrong - you are looking for something equivalent to 4.0505050505050505, not just 4.05.

Typing the answer suggestions into a calculator you get:

405/99 = 4.0909090909 which is incorrect

401/99 = 4.0505050505 which is correct

81/33 = 2.45454545455 which is incorrect

802/198 = 4.0505050505 which is correct

405/100 = 4.05 which is incorrect as it doesn't repeat.

Hopefully this helps, let me know if you have any questions :)

6 0

3 years ago

7.37×10 with an exponent of nine

Harman [31]

Answer:

We get 6 x10^7 with a 4dp of 9599

9599

/ \

29 331

Step-by-step explanation:

Rounded to 4dp

64151584.9599

6 0

3 years ago

Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. FInd the measure of each angle.

garik1379 [7]

$\text{Larger angle} =x\\\\\text{Smaller angle} =y\\ \\\text{According to the condition,}\\\\x=10y+15\\\\\text{The two angles are supplementary, so their sum is}~ 180^{\circ} \\\\x+y=180\\\\\implies 10y+15 +y = 180\\\\\implies 11y = 180-15\\\\\implies 11y=165\\\\\implies y = \dfrac{165}{11}\\\\\implies y = 15\\\\\text{So,} ~x =180-15 = 165\\\\\text{Hence the larger angle is}~ 165^{\circ}~ \text{and the smaller angle is }15^{\circ}$