Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
3x+4y–12=0
3x + 4y - 12 = 0
4y = -3x + 12
...
To write the equation in slope-intercept form, we need to isolate the y variable on one side of the equation.
Let's rearrange the given equation:
3x + 4y - 12 = 0
First, let's move the 3x term to the other side:
4y = -3x + 12
Now, divide all terms by 4 to solve for y:
y = (-3/4)x + 3
In this equation, the slope is -3/4 (underlined) and the y-intercept is 3 (circled).