Final answer:
To rewrite the equation 0.4x + 0.2y = 0.6 in slope-intercept form, subtract 0.4x from both sides and then divide by 0.2, resulting in y = -2x + 3, which shows a slope of -2 and a y-intercept of 3.
Step-by-step explanation:
The student has asked to rewrite the equation 0.4x + 0.2y = 0.6 in the slope-intercept form, which is y = mx + b. To do this, we first isolate y on one side of the equation. We start by subtracting 0.4x from both sides of the equation:
0.4x + 0.2y - 0.4x = 0.6 - 0.4x
0.2y = -0.4x + 0.6
Next, we divide all terms by 0.2 to solve for y:
y = (-0.4 / 0.2)x + (0.6 / 0.2)
y = -2x + 3
Now, the equation is in the slope-intercept form, where the slope (m) is -2 and the y-intercept (b) is 3.