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sashaice [31]
3 years ago
10

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!

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Solve 6 + 5 √ 2 4 9 − 2 x = 7
NISA [10]

6+5\sqrt{249}-2x=7 \\-2x=7-6-5\sqrt{249} \\-2x\approx-77.9 \\x\approx\frac{-77.9}{2}\approx38.95

Hope this helps.

7 0
3 years ago
A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?
LuckyWell [14K]

Answer:

<h2>D. 3</h2>

Step-by-step explanation:

\bold{METHOD\ 1}

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3

\bold{METHOD\ 2}\\\\\text{Look at the picture.}

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

5 0
3 years ago
Read 2 more answers
Evaluate 3/7 r + 5/8 s when r is 14 and s is 8
forsale [732]

Answer:

11

Step-by-step explanation:

Making the appropriate substitutions, we get

3/7 r + 5/8 s  =>  3/7 (14) + 5/8 (8).

Notice how this can reduced:

                             3(14)            5(8)

                           ----------- +     ---------   =   6 + 5 = 11

                                  7                8

6 0
3 years ago
Which is a parallelogram but not a rectangle?
Alinara [238K]
I’m pretty sure that your answer is the last one
4 0
3 years ago
Which of the following equations has a slope of -2 and passes through the point (3,-4)?
Mashutka [201]

Answer:

B

Step-by-step explanation:

y=-2x+2

y=mx+b

m is slope so.here m is -2

y=-2+10.passes through the point (3,-4)

because -4=-2*3+2

-4=-6+2

-4=-4

6 0
3 years ago
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