Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

What is the equation of the line that is parallel
to the line y = 2x - 1 and passes through the
point (2, 7)?

Sagot :

msridd25p0v57k

Answer:

y= 2x + 3

Step-by-step explanation:

To have a parallel line they need to have the same slope.

Then you need to plot the point (2,7).

A slope of 2x means that it goes up 2 y values for every x value it goes up by. So to find the y-intercept, you need to go down 2 x values. Meaning you need to subtract 4 y values. (0,3).

y= (slope) + y-intercept

abcdefdfgfghh

Answer:

y = 2x + 3

Step-by-step explanation:

1. Approach

The line y = 2x -1 is written in slope-intercept form, essentially; y = mx + b, where "m" is the slope, and "b" is the y-intercept. If two lines are parallel, then they both have the same slope. So one simply has to substitute in a point on the line to find out what the y-intercept is, and assemble the equation.

2. Slope

As mentioned above, two parallel lines have the same slope. Hence the slope of the line that one is trying to find the equations of is 2.

3. y-intercpet

Substitute in the point that is given, and solve for the y-intercept.

y = mx + b

y = 2x + b

7 = 2(2) + b

7 = 4 + b

3 = b

4. Assembling what one knows

The equation of the line is;

y = 2x + 3

Were 2 is the slope, and 3 is the y-intercept.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.