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2 years ago

Which equation represents the line that passes through the point (-2.4, -7.1) and has a slope of -5.3

Mathematics

1 answer:

Wewaii [24]2 years ago

8 0

Y= -5.3x + c

-7.1= -5.3(-2.4) + c

C= -12.72-7.1 = −19.82

Y= —5.3x-19.82

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Brittany bought 14 seeds she can plant 3 in a row. How many rows can she plant? Brittany can plant _____ rows. How many seeds ar

Phoenix [80]

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about 5 rows

Step-by-step explanation:

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3 years ago

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−5y+8x=−18<br> 5y+2x=58 <br> Solve the system of equations.<br>

kvasek [131]

Answer:

1: −5y+8x=−18

Slope = 3.200/2.000 = 1.600

x-intercept = -18/8 = -9/4 = -2.25000

y-intercept = 18/5 = 3.60000

2: Slope = -0.800/2.000 = -0.400

x-intercept = 58/2 = 29

y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step 1 :

Equation of a Straight Line

1.1 Solve -5y+8x+18 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -5y+8x+18 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000

y-intercept = 18/5 = 3.60000

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

x-intercept = -18/8 = -9/4 = -2.25000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

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3 years ago

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AysviL [449]

Answer:

Step-by-step explanation:

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3 years ago

What value of x <br> in the solution set of 2(3x – 1) ≥ 4x – 6?

Brrunno [24]

First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside

After distributing, the left side of your inequality will be 6x-2

Now you have
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To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.

so you have
$6x - 2 \geqslant 4x - 6 \\ - 6x \geqslant + 6$
And that will make the equation
$- 4 \geqslant - 2x$
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.

Then, the value of x is greater than or equal to 2

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3 years ago

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