If one x-value maps to many y-values, does the relation represent a function?
1 answer:
You might be interested in
Answer:
- The solution is (x, y) = (-2, 0)
- A graph is attached
Step-by-step explanation:
The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).
The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).
Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.
For a line with slope m that passes through a point 
, the point-slope form equation is the following.
We have a given slope of 4 and a given point of (7,5). Now, plug in the values.
That is the point-slope form of the line. Now, let's change this into slope-intercept form. Slope-intercept form looks like the following:
Where m is the slope and b is the y-intercept. Let's do some algebra on our point-slop form equation to change it into slope-intercept form.
This was our equation. Let's use the distributive property on 4(x-7).
Now, add 5 to both sides of the equation
This the slope-intercept form of the line. Thus, we have solved for both the point-slope form and the slope-intercept form. Hope this helps! :)
We have a given slope of 4 and a given point of (7,5). Now, plug in the values.
That is the point-slope form of the line. Now, let's change this into slope-intercept form. Slope-intercept form looks like the following:
Where m is the slope and b is the y-intercept. Let's do some algebra on our point-slop form equation to change it into slope-intercept form.
This was our equation. Let's use the distributive property on 4(x-7).
Now, add 5 to both sides of the equation
This the slope-intercept form of the line. Thus, we have solved for both the point-slope form and the slope-intercept form. Hope this helps! :)