Mathematics, 29.08.2019 03:00 anayamulay

Which equation represents the line that passes through the point (−2,2) and is parallel to y = 1 halfx + 8?

Answers: 1

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Answers

Y=mx+b
m=slope

pareaell lines have same slope

so if it is paralell to y=(1/2)x+8 ten the slope is 1/2
so
y=(1/2)x+b
find b
the point (-2,2)
x=-2 and y=2
sub
2=(1/2)(-2)+b
2=-1+b
3=b

y=(1/2)x+3 is the equation

Answer from: keigleyhannah30

The equation of the line is $\boxed{y = \frac{1}{2}x + 3}$ that passes through the point $\left( { - 2, 2} \right).$

Further explanation:

The linear equation with slope m and intercept is given as follows.

$\boxed{y = mx + c}$

The formula for slope of line with points $\left( {{x_1},{y_1}} \right) {\text{and} \left( {{x_2},{y_2}} \right)$ can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Given:

The passes through point is $\left( { - 2, 2} \right).$

The parallel line is $y = \dfrac{1}{2}x + 8.$

Explanation:

The passes through point is $\left( { - 2, 2} \right).$

The slope of the line $y = \dfrac{1}{2}x + 8$ is $\boxed{\frac{1}{2}}.$

If the lines are parallel to each other than slope of the lines are equal.

Substitute $\dfrac{1}{2}$ for , for and 2 for in equation y = mx + c to obtain the value of .

$\begin{aligned}2&= \frac{1}{2}\left( { - 2} \right) + c\\2&= - 1 + c\\2 + 1&= c\\3&= c\\\end{aligned}$

Substitute 3 for and $\dfrac{1}{2}$ for in equation y = mx + c.

$y = \dfrac{1}{2}x + 3$

The equation of the line is $\boxed{y = \frac{1}{2}x + 3}$ that passes through the point $\left( { - 2, - 2} \right).$

Learn more:

Learn more about inverse of the functionhttps://link. Learn more about equation of circle link. Learn more about range and domain of the function link

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers, slope -6, passes (-2,-2), slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin, 1/2x+8, parallel.

Answer from: Quest

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

Answer from: Quest

57.09 minus 7.0435 equals

step-by-step explanation:

just subtrach them both and u get the answer of 50.0465

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Which equation represents the line that passes through the point (−2,2) and is parallel to y = 1 hal...