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3 years ago

Graph the linear equation ×-4y=-4. show the graph

1 answer:

7 0

One way of doing this would be to make use of the x- and y-intercepts.
Let x=0; then y =1, so (0,1) is a point on the line. Let y=0; then x= -4. (-4,0) is a point on the line. Plot these 2 pts and draw a str. line thru them.

Another way would be to solve x<span>-4y=-4 for y and then to plot the result:

-4y = -x - 4; dividing both sides by -4 results in y = (1/4)x + 1.

Plot the y-intercept (0,1). Next, starting with your pencil point on (0,1), move the pencil 4 spaces to the right and 1 space up. That creates a slope of (1/4). Put a black dot there. Then draw a str. line thru (0,1) and (4,1).</span>

You might be interested in

Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.

IRINA_888 [86]

Y = -1/5x + 2

A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).

First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3

So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.

Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation

y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2

3 0

2 years ago

What is the least common denominator of 3/4?

wariber [46]

12.
Hope this helps!
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8 0

3 years ago

Which has more mass the apple or the banana how do you know

valentinak56 [21]

A banana has more mass than a apple because it carries more molecules than a apple

3 0

3 years ago

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x

matrenka [14]

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 " ⇒ answer C

Step-by-step explanation:

Let us revise some transformation

A vertical stretching is the stretching of the graph away from the x-axis

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.

If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
f k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.

A horizontal stretching is the stretching of the graph away from the y-axis

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.

If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis.

∵ f(x) = x

∵ g(x) = f(-10x)

- Substitute x by -10x

∴ g(x) = -10x

∵ x is changed to 10x

- x multiplied by a number means shrink or stretch horizontally

∵ k = 10

∵ 10 > 1

∴ The graph of f(x) is shrunk horizontally by a factor of 10

∵ The value of g(x) is negative

- The negative sign of g(x) means reflection across x-axis

∴ The graph of f(x) is reflected about the x-axis

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 "

Learn more:

You can learn more about reflection in brainly.com/question/5017530

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5 0

3 years ago

Abie makes $39,000 a year and spends about $250 each month on entertainment. what fraction of her annual income is spent on ente

tamaranim1 [39]

(250 * 12) / 39,000 = 3000/39,000 which reduces to 1/13 <==

** I multiplied 250 by 12 to get the cost per yr

7 0

3 years ago