Final answer:
The equation 2x + 5y - 10 = 0 can be written in slope-intercept form as y = (-2/5)x + 2. The slope of the line is -2/5 and the y-intercept is 2.
Step-by-step explanation:
To write the equation 2x + 5y - 10 = 0 in slope-intercept form, we need to solve for y. First, let's isolate the term with y by subtracting 2x from both sides of the equation:
5y - 10 = -2x
Next, let's move the constant term (-10) to the other side by adding 10 to both sides:
5y = -2x + 10
Finally, divide both sides of the equation by 5 to isolate y:
y = (-2/5)x + 2
The equation in slope-intercept form is y = (-2/5)x + 2. The slope of the line is -2/5, and the y-intercept is 2.