Match the equation with its graph: 5/8x - 1/3y = 1/8
No Graph. Cannot copy and paste here.
To match the equation with its graph, we need to rearrange the equation to put it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Given equation: 5/8x - 1/3y = 1/8
First, let's isolate y by moving the x term to the other side:
-1/3y = -5/8x + 1/8
To get rid of the coefficient of -1/3, multiply both sides of the equation by -3:
(-3)(-1/3y) = (-3)(-5/8x) + (-3)(1/8)
Simplifying this equation:
y = 5/8x - 3/8
The equation is now in slope-intercept form, y = mx + b, where the slope (m) is 5/8 and the y-intercept (b) is -3/8.
Now, we can compare the slope and y-intercept to match the equation with its graph. The slope of 5/8 tells us that for every 8 units we move horizontally to the right, we move 5 units vertically upwards. The y-intercept of -3/8 tells us that the graph intersects the y-axis at y = -3/8.
Using this information, we can plot the y-intercept at (0, -3/8), and then using the slope, we can find more points to plot. For example, if we move 8 units to the right from the y-intercept, we move 5 units upwards, which gives us the point (8, 2/8).
By connecting these points and extending the line, you will get the graph of the equation y = 5/8x - 3/8.