How do you find the slope of a line? How do you know if two lines are parallel? give examples
2 answers:
Answer:
The slope of a line is the rise/run of how far away the points are from each other. Say you have the equation y=3/4x-6, the slope is 3/4 so that means you plot your first point at -6 on the y-axis, because that is your y-intercept, and then you will go up 3, right 4. You will continue to do this until you have enough points to make a line. When two lines are parallel, they will always have the same slope. So the lines y=1/2x+4 and y=1/2x-3 are parallel because not only do they have the same slope, they do not intersect at all, which is a requirement for parallel lines. I hope this helps!!
Step-by-step explanation:
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<h2>Hello!</h2>
The answer is:
The correct option is the first option:
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at:
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!