Solve for y, state the m and b, and graph.
X-3y+9=0
x-3y+9 = 0
-3y = -x - 9
Y = (1/3)x + 3
m = 1/3
b = 3
Thanks Henry!!!
To solve for y in the equation X - 3y + 9 = 0, we need to isolate the variable y on one side of the equation.
Step 1: Move the constant term to the other side of the equation.
X - 3y = -9
Step 2: Move the coefficient of y to the other side by dividing both sides of the equation by -3.
(X - 9) / -3 = y
Step 3: Simplify the equation further.
y = -X/3 + 3
Now we have solved for y. The equation is in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. Comparing our equation to the standard form, we can determine that:
m = -1/3
b = 3
To graph the equation, follow these steps:
Step 1: Draw the x and y axes on your graph paper.
Step 2: Plot the y-intercept (0, b) on the y-axis (0, 3).
Step 3: Use the slope (m) to find additional points on the line. The slope of -1/3 means that for every increase of 1 in the x-coordinate, the y-coordinate decreases by 1/3. To find another point, move 1 unit to the right from the y-intercept and then move 1/3 down.
Step 4: Connect the points with a straight line extending in both directions.
Your graph should show a straight line with a slope of -1/3, intercepting the y-axis at (0, 3).