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Naddika [18.5K]
3 years ago
15

line k has a slope of -5. line j is perpendicular to line k and passes though the point (5,9) create the equation for line j

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0

Answer:

y = 1/5x + 8

Step-by-step explanation:

The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, the slope of line j is 1/5. This is your current equation: y=1/5x + b. Plug in your coordinate to the equation, it should look like this: 9=1/5(5)+ b. 1/5 times 5 equals 1, so this is what it should look like: 9=1 + b. Subtract 1 from both sides to get 8 = b. Go back to your original equation and plug in 8 to b. This is your final equation: y = 1/5x + 8. Hope this helped!

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The exponential function shown in the graph is 3^x, so (1/2)3^x is a shrink of it.

Selection B is appropriate.
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A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
adell [148]

Answer:

y=\frac{3}{2}x-3

Step-by-step explanation:

The given line passes through: (0,-3), (2,0), and (4,3).

We first of all find the slope using m=\frac{y_2-y_1}{x_2-x_1}

Using (x_1=0,y_1=-3),and\:(x_2=2,y_2=0) we find the slope to be

m=\frac{0--3}{2-0}=\frac{3}{2}

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Therefore the equation is y=\frac{3}{2}x-3

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Enter the equation of the line in slope-intercept form.
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y=\frac{1}{4}x

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2 years ago
Suppose y varies inversely as x, and y=25 when x=3. Find x when y=15
malfutka [58]

Answer:

If

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XXX

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⋅

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for some constant

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y

=

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XXX

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⇒

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2 years ago
Find the slope of the line that contains (6,-4) and (-4,-4)
frez [133]

Answer:y = -4

Step-by-step explanation: In order to find the slope by these two points, (6,-4), and (-4,-4), you must use the slope formula:

rise/run, which is this case, is y2-y1 / x2 - x1 <--- this is the slope formula

Let 6 be x2, -4 be x1, y2 be -4, and y1 being -4, plug these numbers in.

-4-(-4) / 6- (-4)

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0/10 The slope of the line is zero, with a y-axis at -4. We know this because there is a zero in the final result and the y- coordinate between (6,-4) and (-4,-4) do not change in the slightest.

The final answer is then y = -4

5 0
3 years ago
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