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3 years ago

Look at the graph below. Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

3 0

Answer and Explanation:

The line seems to pass trough the points (0,6) and (-3,4).

Slope is: $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{4-6}{-3-0} =\frac{-2}{-3} =\boxed{\frac{2}{3}}$

The slope of the line should be $\frac{2}{3}$ .

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The coordinates below represent two linear equations.

vovikov84 [41]

First write the equations in the slope-intercept form:
$y=mx+b \\ \\
m=\frac{y_2-y_1}{x_2-x_1}$

Line 1 passes through the points (-6,-6) and (-4,-3).
$m=\frac{-3-(-6)}{-4-(-6)}=\frac{-3+6}{-4+6}=\frac{3}{2} \\ \\
(-6,-6) \to x=-6, \ y=-6 \\
-6=\frac{3}{2} \times (-6) + b \\
-6=-9+b \\
b=3 \\ \\ y=\frac{3}{2}x+3$

Line 2 passes through the points (0,3) and (2,6).
$m=\frac{6-3}{2-0}=\frac{3}{2} \\ \\
(0,3) \to x=0, \ y=3 \\
3=\frac{3}{2} \times 0 + b \\
b=3 \\ \\
y=\frac{3}{2}x+3$

These are two identical lines so the system of equations has infinitely many solutions. The answer is D.

7 0

2 years ago

Read 2 more answers

Ryan runs 3 miles in 28 minutes. at the same rate, how many miles would he run in 42 minutes?

Sphinxa [80]

If 3mile=28 min
x mile=42 min
cross multiply
x=3/28
therefore if 3/28=1 min
then x mile= 42 min
cross multiply
42 x 3/28 =21 x 3/14
=3 x 3/1
=9
The answer is 9 miles

5 0

2 years ago

20 is how much less than 30? What percent less?

LenKa [72]

Answer:

33.3333% decrease

Step-by-step explanation:

Percent change formula: $\frac{(x-y)}{|y|} *100$ , where x is the new value and y is the starting value.

Plug in values and solve:

$\frac{20-30}{30} *100\\\frac{-10}{30} *100\\-0.3333*100\\$

-33.3333% change, or a 33.3333% decrease.

7 0

3 years ago

Solve the system of linear equations y= 2x -3Y= x + 6

Alja [10]

Answer:

x=9, y=15. (9, 15).

Step-by-step explanation:

y=2x-3

y=x+6

----------

2x-3=x+6

2x-x-3=6

x-3=6

x=6+3

x=9

y=9+6=15

7 0

1 year ago

All kites are squares true or false

Klio2033 [76]

Answer:

Step-by-step explanation:

Not all kites are a square.

8 0

2 years ago