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3 years ago

8

Convert the equation below to slope intercept form 2x+y=3 pls help ASAP

1 answer:

Radda [10]3 years ago

8 0

9514 1404 393

Answer:

(b) y = -2x +3

Step-by-step explanation:

Subtract the 2x term to get y by itself on the left.

2x -2x +y = 3 -2x

y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b

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One hundred eight and ninety-five hundredths

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write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9

photoshop1234 [79]

Answer:

$\large\boxed{y=\dfrac{7}{2}x-18}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

$3x+4x=2y-9$

$7x=2y-9$ <em>add 9 to both sides</em>

$7x+9=2y$ <em>divide both sides by 2</em>

$\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}$

Parallel lines have the same slope. Therefore we have the equation:

$y=\dfrac{7}{2}x+b$

Put the coordinates of the point (4, -4) to the equation:

$-4=\dfrac{7}{2}(4)+b$

$-4=7(2)+b$

$-4=14+b$ <em>subtract 14 from both sides</em>

$-18=b\to b=-18$

Finally we have the equation:

$y=\dfrac{7}{2}x-18$

8 0

4 years ago

NEED HELP ASAP 30 POINTS WILL BE GIVEN TO BRAINLIEST

WINSTONCH [101]

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$G(-1,3)\ H(1,2)\ J(-3,-1)$

Step 1

<u>Find the slope GH</u>

$G(-1,3)\ H(1,2)$

substitute in the formula

$m=\frac{2-3}{1+1}$

$m=\frac{-1}{2}$

$mGH=-\frac{1}{2}$

Step 2

<u>Find the slope HJ</u>

$H(1,2)\ J(-3,-1)$

substitute in the formula

$m=\frac{-1-2}{-3-1}$

$m=\frac{-3}{-4}$

$mHJ=\frac{3}{4}$

Step 3

<u>Find the slope JG</u>

$J(-3,-1)\ G(-1,3)$

substitute in the formula

$m=\frac{3+1}{-1+3}$

$m=\frac{4}{2}$

$mJG=2$

Step 4

Verify if triangle GHJ is a right triangle

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

$m1*m2=-1$

compare slope GH with slope JG

we have

$mGH=-\frac{1}{2}$

$mJG=2$

$-\frac{1}{2}*2=-1$ -----> side GH and side JG are perpendicular

The triangle GHJ is a right triangle

The answer in the attached figure

4 0

3 years ago

What is the sum of the series?

Mamont248 [21]

Answer:

45

Step-by-step explanation:

Since the values are relatively small substitute i = 1 to 5 into 3i and sum

(3 × 1) + (3 × 2) + (3 × 3) + (3 × 4) + (3 × 5)

= 3 + 6 + 9 + 12 + 15

= 45

6 0

4 years ago