Solve the equation for y. Then graph the equation. 5x – 4y = 12 A.y=-5/4x-3 B.y=4/5x+3 C.y=5/4x-4 D.y=-4/5x+3
5x-4y = 12
5x-12 = 4y
5/4 x - 3 = y
None of the choices matches. Typo somewhere?
For the graph, go to wolframalpha.com and enter
plot 5x – 4y = 12
To solve the equation 5x - 4y = 12 for y, we need to isolate y on one side of the equation.
Step 1: Start with the given equation: 5x - 4y = 12.
Step 2: Subtract 5x from both sides of the equation to move the x term to the right side, which leaves us with -4y = -5x + 12.
Step 3: Divide every term by -4 to solve for y. This gives us y = (-5x + 12) / -4.
Simplifying the right side, y = (5x - 12) / 4.
Therefore, the equation, when solved for y, is y = (5x - 12) / 4.
To graph the equation, we can use the slope-intercept form of an equation (y = mx + b), where m represents the slope and b represents the y-intercept. By comparing the equation y = (5x - 12) / 4 with the slope-intercept form, we can identify the slope and y-intercept.
The equation can be rewritten as y = (5/4)x - 3. Thus, the slope is 5/4, and the y-intercept is -3.
Now we can plot the graph:
1. Start by plotting the y-intercept, which is the point (0, -3).
2. Use the slope to find other points. Since the slope is 5/4 (rise over run), for every increase of 4 in the x-direction, the y-value increases by 5. Similarly, for every decrease of 4 in the x-direction, the y-value decreases by 5. Connect these points to create a straight line.
Therefore, the correct answer is A. The equation is y = (-5/4)x - 3, and the graph of the equation is a line with a slope of -5/4 and a y-intercept of -3.