Rearrange 8x+2y+11=0 into the form y=mx+b
8x+2y+11=0
2y=-8x-11
y=-8/2x-11/2
8x+2y+11=0
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2y+11=-8x
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2y=-8x-11
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2y=-8x-11
2 2 2
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y=4x+5.5
To rearrange the equation 8x + 2y + 11 = 0 into the form y = mx + b, where m is the slope and b is the y-intercept, follow these steps:
Step 1: First, subtract 8x and 11 from both sides of the equation to isolate the term with y:
8x + 2y + 11 - 8x - 11 = 0 - 8x - 11
2y = -8x - 11
Step 2: Divide every term in the equation by 2 to solve for y:
2y/2 = (-8x - 11)/2
y = -4x - 11/2
Thus, the rearranged equation in the form y = mx + b is y = -4x - 11/2. In this equation, m = -4 represents the slope, and b = -11/2 is the y-intercept.