Write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

5 0

Answer:

The new line will be parallel to the line represented by y =2x +2

The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope. So the slope of this line is 2. A line parallel to y = 2x + 2 will have the same slope. This means the slope of the new line will also be 2.

To determine the equation of the new line, we can use the given point to find the y intercept of the new line:

y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

3 = 2 * (-1) + b

3= -2 + b

b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be: y = 2x + 5

(Hope it can help)

erastova [34]3 years ago

4 0

Answer:

y=2x+5

Step-by-step explanation:

hope you understood

You might be interested in

Find the measure of an<br> exterior angle of a regular<br> polygon with 18 sides.

Elenna [48]

Answer:

compute its exterior angle as 360/18, which is 20 degrees

Step-by-step explanation:

8 0

3 years ago

A. When x= -1, what is the value of y?

Pachacha [2.7K]

Answer:

When x=-1, y=3; when y=7, x=1; the y-intercept is 5; the x-intercept is 2.5; the slope is 2; the lines' equation is y=2x+5

Step-by-step explanation:

The first two answers can be easily interpreted by looking at the graph. For the next two, remember, the x-intercept is the point where the line touches the x-axis and the y-intercept is the point where the line touches the y-axis. For question e, the slope can be calculated by plugging the two coordinates from the first two questions, (-1,3) and (1,7), into the formula $\frac{y_2 - y_1}{x_2-x_1}$ or by using the graph to count the slope. The equation of the line is written in slope-intercept form, y=mx+b. Here, m is the slope and b is the y-intercept. Plug in these values that you already found while answering the previous questions and you have the answer.