Final answer:
The equation 6x + 4y - 8 = 0 in slope-intercept form is y = -1.5x + 2, with a slope of -1.5 and a y-intercept of 2.
Step-by-step explanation:
To rewrite the equation 6x + 4y - 8 = 0 in slope-intercept form, which is y = mx + b, we need to solve for y to find the slope (m) and the y-intercept (b).
First, we move the terms involving x to the other side of the equation:
4y = -6x + 8
Then, we divide every term by 4 to solve for y:
y = (-6x/4) + (8/4)
y = -1.5x + 2
This gives us the equation in slope-intercept form, with the slope (m) being -1.5 and the y-intercept (b) being 2. So, the equation of the line is y = -1.5x + 2, and this line crosses the y-axis at the point (0, 2).