Which of the following equations produces a linear function?
1 answer:
You might be interested in
Answer:
Slope = 2/3 Y intercept +3
Step-by-step explanation:
Plot the y-intercept (0,+3) in the xy axis. Remember, this point always lies on the vertical axis y.
Starting from the y-intercept, find another point using the slope. Slope contains the direction how you go from one point to another.
The numerator tells you how much steps to go up or down (rise) while the denominator tells you how many units to move left or right (run).
Connect the two points generated by the y-intercept and the slope using a straight edge (ruler) to reveal the graph of the line.
Given:
The system of equation is
To find:
The solution of given system of equations.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Write the given equation in slope intercept form.
The first equation is
...(i)
Here, slope is and y-intercept is 4.
The second equation is
...(i)
Here, slope is and y-intercept is -4.
Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.
Parallel lines never intersect each other. So, the given system of equation has no solution.
Hence, the correct option is B.