"Identify the line that is parallel to the line y=3x-14"
These types of problems I have never been able to get, even though I think they're easy to solve. If someone could help me with this that would be great thank you!!
Since the line you are looking for is parallel to y = 3x - 14
it will differ only in the constant, that is, instead of -14 you should see
some other number
I assume all your choices are of the form y = mx + b
If your choices are in general form, look for an equation that starts
with
3x - y ........
I'm so sorry I literally don't know, would it just be 7?
Where does the 7 come from ???
you did not post your choices, I told you what to look for to get the
correct choice.
To identify a line that is parallel to the given line y = 3x - 14, we need to determine the properties of a line that make it parallel.
Parallel lines have the same slope but different y-intercepts. The slope of a line can be determined by the coefficient of x in the equation of the line. In this case, the given line y = 3x - 14 has a slope of 3.
Now, we can use this slope of 3 to find a parallel line. Any line with a slope of 3 will be parallel to the given line. One way to represent this parallel line is in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Since the slope of the given line is 3, we can choose any value for the y-intercept (b). For example, let's say we want the parallel line to have a y-intercept of 5. The equation of the parallel line would then be y = 3x + 5.
Alternatively, you could also choose a different slope (m) and keep the y-intercept as 0 to find another parallel line. For instance, if you want a parallel line with a slope of 2, the equation would be y = 2x.
To summarize, to identify a line that is parallel to the given line y = 3x - 14, we need to maintain the same slope of 3 and change the y-intercept (b) or choose a different slope (m) while keeping the y-intercept as 0.