1. (-3,5), y=-2x+1

2.(2,8), y=4x-1

1. (-3,5), y=-2x+1

2.(2,8), y=4x-1

Tutors, please sign in to answer this question.

Middletown, CT

Hi Mondrea;

1. (-3,5), y=-2x+1

The equation is parallel to this. This means that the slope is identical. This formula is in the format of...

y=mx+b

m is the slope, -2 in this equation, as well as the line parallel to it.

b is the y-intercept, the value of y when x=0.

We will use point-slope formula to establish the equation of the line parallel to this.

y-y_{1}=m(x-x_{1})

y-5=-2(x--3)

Subtracting a negative number is the same as adding a positive number...

Subtracting a negative number is the same as adding a positive number...

y-5=(-2)(x+3)

y-5=-2x-6

Let's add 5 to both sides...

5+y-5=-2x-6+5

y=-2x-1

2.(2,8), y=4x-1

2.(2,8), y=4x-1

Slope is 4.

(y-y_{1})=m(x-x_{1})

(y-8)=4(x-2)

y-8=4x-8

The -8 on both sides cancels...

y=4x

Madison, WI

Mondrea, using cartesian (x-y) coordinates lines are parallel if their equations have the same slope. So the slope of the first line is -2, so the slope of a line parallel to it has to also be negative -2. Using the point-slope [(y - y1) = m (x - x1)] equation for a line with a slope of -2 and the point (-3,5), the equation would be

y - 5 = -2 [x - (-3)] or y - 5 = -2 (x + 3) or in slope-intercept (y = mx +b) form y = -2x - 1

y - 5 = -2 [x - (-3)] or y - 5 = -2 (x + 3) or in slope-intercept (y = mx +b) form y = -2x - 1

You can repeat this process for your second problem in the exact same way. I hope this helps. John

Evan F.

Mathematics graduate looking to enhance your mathematics ability.

Cambria Heights, NY

4.9
(315 ratings)

John P.

Tutor of math and physics, recent college graduate

Short Hills, NJ

5.0
(21 ratings)

- Algebra 5017
- Algebra 1 4026
- Math Help 5376
- Algebra 2 3430
- Algebra Word Problem 2461
- Math 9710
- Math Help For College 1388
- Algebra Equation 313
- Algebra Question 246
- College Algebra 1075