which graph represents the linear function y = 1/4x -3
slope is 1/4 and y axis intercept is -3
so it goes down 1/4 for every unit to the right and goes through the point
(0 , -3)
Actually it goes UP 1/4 unit for every increase of 1 in the x
Sorry, yes of course !
To determine which graph represents the linear function y = (1/4)x - 3, we can use the slope-intercept form of a linear equation. In this form, the equation takes the form y = mx + b, where m represents the slope and b represents the y-intercept.
In the given equation, we can interpret the slope as 1/4, which means that for every 1 unit increase in x, y increases by 1/4 unit. The negative sign implies that the line will have a downward slope, meaning it will slant from the top left to the bottom right when graphed.
To plot the y-intercept, we take note of the value of b, which is -3. This indicates that the line will cross the y-axis at the point (0, -3).
Using this information, we can now identify the correct graph:
1. Draw a coordinate plane with the x and y axes.
2. Plot the y-intercept at (0, -3).
3. From the y-intercept, use the slope to determine the next point on the line. In this case, since the slope is 1/4, we move 1 unit to the right and then move 1/4 unit downward from the point (0, -3).
4. Repeat this process to find additional points: move 1 unit to the right, then move 1/4 unit downward.
5. Connect the plotted points to form a straight line.
The correct graph will display a line with a downward slope that passes through the point (0, -3) and continues indefinitely.
Unfortunately, as a text-based AI, I am unable to produce visual content, so I'm unable to show you the graph directly. I recommend using graphing software or a graphing calculator to accurately plot and visualize the linear function.