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zavuch27 [327]
2 years ago
13

Does anyone know how to do this?

Mathematics
2 answers:
marysya [2.9K]2 years ago
7 0

Answer:

Slope intercept form is y = mx + b

m is slope

b is y intercept

y = -4/5x + -9

I only know that first one sry

Step-by-step explanation:

likoan [24]2 years ago
4 0

Answer:

yes.

Step-by-step explanation:

slope intercept form is y=mx+b

b is the y intercept, m is the slope, and x is x.

for

1. it would be

y= -4/5x -9

2. You take the points and do (y2-y1) DIVIDED BY (x2-x1)

it would look like:

(5- -3) / (3-0) = (8/3)

Then plug in one of the sets of numbers for x and y, to get y intercept.

5=8/3(3)+b

b=-3

So.. slope intercept would be y=8/3x -3

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The given line segment has a midpoint at (3, 1).
Katena32 [7]

Answer:

y=\frac{1}{3}x

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through (x_1,y_1)\ and\ (x_2,y_2) is:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}.

Therefore the line passing through (2, 4) and (4, -2) has an equation:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

m_1m_2=-1.

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}

Since it is the  perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is y=\frac{1}{3}x

7 0
3 years ago
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Answer:

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6 0
3 years ago
Steps to solve this-- Find the percent of increase from 380 to 440. Round to the nearest tenth of a percent if necessary. 13.6%
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Then use rule of 3

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This would your answer
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