Question

Help solve this please

Answer 1

a) 2

b) -
`(1)/(2)`

c) y = 2x + 1

Explanation:

a)

First put the equation into slope intersept form (y=mx+b) by...

• Move the variable to the right-hand side and change its sign : -y = -4 -2x

• Change the signs on both sides of the equation: y = 4 + 2x

• Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4

Parallel lines have the same slope so.... a parallel slope is 2

b)

First put the equation into slope intersept form (y=mx+b) by...

• Move the variable to the right-hand side and change its sign : -y = -4 -2x

• Change the signs on both sides of the equation: y = 4 + 2x

• Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4

To find a perpendicular slope flip the slope and change the sign : -
`(1)/(2)`

c)

First put the equation into slope intersept form (y=mx+b) by...

• Move the variable to the right-hand side and change its sign : -y = -4 -2x

• Change the signs on both sides of the equation: y = 4 + 2x

• Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4, parellel slope : 2

• Substitute the x and y values with the given ordered pair: 3 = 2(1) + b
• Calculate the product: 3 = 2 + b
• Move the variable to the left-hand side and change its sign: -x = 2 - 3

• Calculate the difference and change the signs : b = 1

Use the slope and y-intersept (b) to write the new line : y = 2x + 4