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4 years ago

The lines are parallel, find the slope-intercept form of the equation y₂

Mathematics

1 answer:

Artist 52 [7]4 years ago

5 0

Since the lines are parallel, you know that they have the same slope, which is 2. If you look at the coordinate grid you can see that line y_{2} crosses the y-axis at (0, 1), making the y-intercept 1. Now that you know the slope is 2 and the y-intercept is 1, you can piece those into a slope-intercept equation.

y = mx + b where m is the slope and b is the y-intercept

y_{2} = 2x + 1

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Given the function ƒ(x ) = 9 - 2x, find x when ƒ(x ) = 25. -41 17 -8

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f(x)=9-2x
--------------------
f(x)=25
9-2x=25
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x = -8
---------------------
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Read 2 more answers

Write the equation of the line with the following characteristics.

Alika [10]

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

Slope-intercept form: y= mx+b
Parallel lines have same slope

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

y= 7x + b

Considering the given point of (0,0), to find the value of b:

0= 7*0+b ⇒ b =0

The line is:

y = 7x

b)Slope of 2 through the point (0,−3)

Solving as above:

y= 2x + b
-3 = 2*0 + b ⇒ b = -3
y = 2x -3

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

y = 3

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

x= -2

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3 years ago