Write the equation of the line in fully simplified slope intercept form
1 answer:
Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
where m = slope, and b = y-intercept.
From the graph, we see that the y-intercept, b, is -4, so now we have
y = mx - 4
Now we need to find the slope from the graph.
We see that the points (0, -4), the y-intercept, and (2, 1) are points of the line.
slope = rise/run
rise is a vertical distance. (Up is positive; down is negative.)
run is a horizontal distance. (Right is positive; left is negative.)
Start at (0, -4). Go up 5 units. That is a rise of +5 since you went up. Now go 2 units to the right. That is a run of +2 units since you went right. The rise is 5, and the run is 2.
m = slope = rise/run = 5/2
The equation is
You might be interested in
A table can be used to find the rate of change by giving you a visual representation of how the operation changes over time for example in the link i'm about to post you can see how much more money is earned as more cars are washed, it is showing how much money is being made OVER TIME, hope this helps :)
now to answer your second question, say you would like to know how many miles Tracy ran over a course of 2 hours, the x axis would be the miles and the y axis would be the time, then you would plot the different points on the graph showing the rate at which she is running
'
to answer your last question a linear interval would be a sequence of numbers that when places on a number line they will form a line, a nonlinear interval is a sequence of numbers that don't make a line because there are inequities meaning the numbers in the sequence are all over the place
Hope this helps and i will post the pictures so you can have a visual representaion
now to answer your second question, say you would like to know how many miles Tracy ran over a course of 2 hours, the x axis would be the miles and the y axis would be the time, then you would plot the different points on the graph showing the rate at which she is running
'
to answer your last question a linear interval would be a sequence of numbers that when places on a number line they will form a line, a nonlinear interval is a sequence of numbers that don't make a line because there are inequities meaning the numbers in the sequence are all over the place
Hope this helps and i will post the pictures so you can have a visual representaion