write the equation in slope intercept form and identify the slope and y-intercept 4x+9y=4
to change this into the required form takes two steps
1. keep the y term on the left, everybody else goes to the right.
9y = - 4x + 4
2. divide each term by the coefficient of the y term
y = (-4/9)x + 4/9
All done, the slope and y-intercept are now staring at you.
Thank You so much
To write the equation 4x + 9y = 4 in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, we need to isolate the y variable.
Let's solve the equation step-by-step to get the desired form:
1. Start with the given equation: 4x + 9y = 4.
2. Subtract 4x from both sides of the equation to move the x term to the right side: 9y = -4x + 4.
3. Divide all terms in the equation by 9 to isolate the y term: y = (-4/9)x + 4/9.
Now the equation is in slope-intercept form. The slope is -4/9, which is the coefficient of the x term, and the y-intercept is 4/9, which is the constant term in the equation.
Therefore, the slope is -4/9 and the y-intercept is 4/9.