What is the slope-intercept equation of the line?
1 answer:
You might be interested in
Some times it's really very easy to answer the problem just by looking over the given problem.
For the given graph, we need to observe some(or any) point on the graph that can conclude anything to answer the given problem.
Generally we observe x or y-intercepts of the graph first.
Let us observe the y-intercept of the given graph, because we can see a clear picture of y-intercept there.
By looking on the graph, we can see y-intercept is at -1.
Note: y-intercept is a point on y-axis where value of x is 0.
Now let us observe the given functions in the given options.
First option: If we plug x=0 in the given function, we get f(0)=0.
So, y-intercept for first option is 0.
Second option: If we plug x=0, we get a negative -1 inside radical. Cube root of -1 is -1. On multiplying by -1 we get +1.
So, y-intercept for second option is 1.
Third option : If we plug x=0 in that function, we get 0-1 = -1.
So, the y-intercept for third function is -1.
Therefore, function in third option is the correct function for given graph.
Therefore, third option is correct option.
We can determine the number of solutions from the slope intercept form of the equations.
Slope intercept form of equation 1 is:
Slope intercept form of second equation is:
The slope and the y-intercept of both equations are the same. This means, the two lines are lying over each other and hence they infinite number of solutions.
So, the correct answer is option C
Slope intercept form of equation 1 is:
Slope intercept form of second equation is:
The slope and the y-intercept of both equations are the same. This means, the two lines are lying over each other and hence they infinite number of solutions.
So, the correct answer is option C