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1 year ago

Write the slope-intercept form of the equation of the line

Mathematics

1 answer:

Igoryamba1 year ago

8 0

The slope-intercept form of the equation of the line described is y = 3/4x - 4.

<h3>What is a slope?</h3>

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of a straight line can be calculated by using this formula;

$Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

x and y are the points.
m is the slope.
c is the intercept.

The partial equation for the perpendicular line is given by:

y = 3/4x + c

At point (8, 2), we have:

2 = 3/4(8) + c

2 = 6 + c

c = 2 - 6

c = -4.

Therefore, the slope-intercept form of the equation of the line described is y = 3/4x - 4.

Read more on slope-intercept form here: brainly.com/question/1884491

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Gre4nikov [31]

Answer:

a = (p - 3b)/10

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction).

p = 10a + 3b

First, subtract 3b from both sides.

p (-3b) = 10a + 3b (-3b)

p - 3b = 10a

Next, isolate the a. Divide 10 from both sides.

(p - 3b)/10 = (10a)/10

(p - 3b)/10 = a

a = (p - 3b)/10 is your answer.

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8 * 3/4

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3.6 is 3 3/5

-XCalypso

~ Dont forget to rate, thank and vote brainliest answer! :D ~

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Here is a way one of my math teachers taught me.

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