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3 years ago

Rewrite the linear equation 4x+3y=6 to in slope-intercept form

Mathematics

2 answers:

sladkih [1.3K]3 years ago

6 0

Answer:

$y=-\frac{4x}{3} +2$

Step-by-step explanation:

Step 1: Remember slope and intercept form

Remember that slope-intercept form is y=mx+b

Step 2: Solve

Rearrage and isolate y

$4x+3y=6\\3y=-4x+6\\y=\frac{-4x}{3}+2$

Step 3: Therefore Statement

Therfore the slope intercept form of the equation is $y=-\frac{4x}{3} +2$

Soloha48 [4]3 years ago

4 0

Answer:

3 = -4/3x + 2

Step-by-step explanation:

Slope intercept form: y = mx + b

Standard form: Ax + By = C

y = mx + b

4x + 3y = 6

3y = -4x + 6

3y/3 = -4x/3 + 6/3

3 = -4/3x + 2

You might be interested in

(9x²+24x-8)-(5x²+3x+10)

motikmotik

Answer:

4x^2 + 21x - 18

Step-by-step explanation:

(9x^2+24x-8)-(5x^2+3x+10)

9x^2+24x-8-5x^2-3x-10

9x^2 - 5x^2 = 4x^2

24x - 3x = 21x

-8 - 10 = -18

Answer: 4x^2 + 21x - 18

8 0

4 years ago

What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?

vfiekz [6]

Answer:

$y=\frac{1}{2}x-5$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

$x-2y=6$

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

$x-2y-x=6-x\\-2y=-x+6$

Divide both sides by -2

$y=\frac{1}{2} x-3$

Now, we can identify clearly that the slope of the given line is $\frac{1}{2}$ since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of $\frac{1}{2}$ as well. Plug this into $y=mx+b$ :

$y=\frac{1}{2}x+b$

2) Determine the y-intercept (b)

$y=\frac{1}{2}x+b$

Plug in the given point (-6,-8)

$-8=\frac{1}{2}(-6)+b\\-8=-3+b$

Add 3 to both sides to isolate b

$-8+3=-3+b+3\\-5=b$

Therefore, the y-intercept is -5. Plug this back into $y=\frac{1}{2}x+b$ :

$y=\frac{1}{2}x-5$

I hope this helps!

7 0

3 years ago

Segment lm is the midsegment of trapezoid abcd. ab = 58, and dc = 98. what is lm?

kifflom [539]

Lm would be 78 because it is halfway between ab and dc and 98-58=40 and half of 40=20, so 58+20=78 or 98-20=78.

3 0

4 years ago

How can we classify the following shapes ? Please choose correct answers that apply !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!

liq [111]

Answer:

Step-by-step explanation:

Cause a square has all equal sides

5 0

3 years ago

The function T(h) = -15 + 3h represents the outside temperature (in degrees Fahrenheit) of Unalakleet, Alaska, where h represent

vodka [1.7K]

Since 3:00 a.m is three hours after midnight, the variable h in the function would be three.

T(h) = -15 + 3h step 1 - write the equation
T(3) = -15 + 3(3) step 2 - plug in h, which is three
T(3) = -15 + 9 step 3 - simplify the expression
T(3) = -6

4 0

3 years ago