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4 years ago

Can anyone please help me determine the slope of the line in the graph.

Mathematics

1 answer:

juin [17]4 years ago

6 0

Answer:

slope = 2

Step-by-step explanation:

To find the slope, we need to read 2 points off the graph.

Where the line crosses the y-axis, the point is (0, 2.5).

The next point up on the line looks like (1, 4.5).

slope = m = (difference in y)/(difference in x)

To find the difference in y and difference in x, subtract the y-coordinates and the x-coordinates, respectively, in the same order.

difference in y = 4.5 - 2.5 = 2

difference in x = 1 - 0

slope = m = (difference in y)/(difference in x) = 2/1 = 2

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D. true, if P is on the line of reflection it remains there.
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3 years ago

What is the domain of y = (3/(x - 2)^2)- 4 ?

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3 years ago

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4 years ago

Which of the following is equivalent to 6.32 X 10^-3

weeeeeb [17]

Answer:

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Step-by-step explanation:

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3 years ago

What is the slope of the line represented by the equation 10x + 5y = 4?

MrRissso [65]

1.
Convert the equations into the slope-intercept form y=mx+b.

$10x+5y=4 \\
5y=-10x+4 \\
y=-2x+\frac{4}{5} \\
m=\boxed{-2} \Leftarrow \hbox{the slope} \\ \\
y=\frac{x}{3}-5 \\
y=\frac{1}{3}x-5 \\
m=\boxed{\frac{1}{3}} \Leftarrow \hbox{the slope}$

2.
$(-3,1) \\
x=-3 \\ y=1 \\ \Downarrow \\
3 \times (-3)+2 \times 1 \stackrel{?}{=} -7 \\
-9+2 \stackrel{?}{=} -7 \\
-7 \stackrel{?}{=} -7 \\
-7 = -7 \\
\hbox{the ordered pair makes the equation true}$

$(-2,-1) \\
x=-2 \\ y=-1 \\ \Downarrow \\
3 \times (-2) + 2 \times (-1) \stackrel{?}{=} -7 \\
-6-2 \stackrel{?}{=} -7 \\
-8 \stackrel{?}{=} -7 \\
-8 \not= -7 \\
\hbox{the ordered pair doesn't make the equation true}$

$(1,-4) \\
x=1 \\ y=-4 \\ \Downarrow \\
3 \times 1+2 \times (-4) \stackrel{?}{=}-7 \\
3-8 \stackrel{?}{=}-7 \\
-5 \stackrel{?}{=}-7 \\
-5 \not= -7 \\
\hbox{the ordered pair doesn't make the equation true}$

$(3,-8) \\
x=3 \\ y=-8 \\ \Downarrow \\
3 \times 3+2 \times (-8) \stackrel{?}{=} -7 \\
9-16 \stackrel{?}{=} -7 \\
-7 \stackrel{?}{=} -7 \\
-7 =-7 \\
\hbox{the ordered pair makes the equation true}
$

The ordered pairs (-3,1) and (3,-8) make the equation true.

3 0

3 years ago