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Write 0.4x+0.2y=0.6

in slope-intercept form.(1 point)
y=
Remaining

1 answer

To write the equation \(0.4x + 0.2y = 0.6\) in slope-intercept form \(y = mx + b\), follow these steps:

  1. Start with the original equation: \[ 0.4x + 0.2y = 0.6 \]

  2. Isolate \(y\) on one side of the equation. First, subtract \(0.4x\) from both sides: \[ 0.2y = -0.4x + 0.6 \]

  3. Now, divide every term by \(0.2\) to solve for \(y\): \[ y = \frac{-0.4}{0.2}x + \frac{0.6}{0.2} \]

  4. Simplify the fractions: \[ y = -2x + 3 \]

So, the slope-intercept form of the equation is: \[ y = -2x + 3 \]