Final answer:
To put x + y = 3 into slope-intercept form, solve for y to get y = -x + 3, where the slope (m) is -1 and the y-intercept (b) is 3.
Step-by-step explanation:
The equation x + y = 3 can be rewritten in the slope-intercept form, which is y = mx + b, where m represents the slope of the line and b represents the y-intercept. To rewrite the given equation in slope-intercept form, we must solve for y.
We subtract x from both sides of the original equation:
y = -x + 3
Now the equation is in slope-intercept form. Here, the slope (m) is -1, and the y-intercept (b) is 3. This means for every increase of 1 on the x-axis, there is a decrease of 1 on the y-axis, and the line crosses the y-axis at the point (0, 3).