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
adding (-3x + 12) ... 4y = -3x + 12
dividing by 4 ... y = -3/4 x + 3
y = m x + b ... -3/4 is the slope ... 3 is the y-intercept
3x + 4y - 12 = 0.
3x + 4y =12,
Y = mx + b.
m = -A/B = -3/4.
b = C/B = -12/4 = -3.
correction: b = C/B = 12/4 = 3.
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Thanks
To write the equation in slope-intercept form, we need to isolate the y variable on one side of the equation.
Given equation: 3x + 4y - 12 = 0
Step 1: Move the constant term to the other side of the equation.
3x + 4y = 12
Step 2: Rewrite the equation with variables in alphabetical order.
4y + 3x = 12
Step 3: To get the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to solve for y.
4y = -3x + 12
Step 4: Divide all terms by 4 to isolate y.
y = (-3/4)x + 3
In this equation, the slope is -3/4 (underline the slope) and the y-intercept is 3 (circle the y-intercept).