Final answer:
To rewrite the equation 2x+y=17 in slope-intercept form, subtract 2x from both sides to isolate y, resulting in y = -2x + 17, where the slope is -2 and the y-intercept is 17.
Step-by-step explanation:
The equation 2x+y=17 needs to be rewritten into slope-intercept form, which is represented as y = mx + b, where m is the slope and b is the y-intercept. To convert the given equation into the slope-intercept form, we isolate y on one side of the equation.
Here's the step-by-step process:
- Subtract 2x from both sides of the equation: y = -2x + 17.
- The equation is now in the form y = mx + b, where the slope (m) is -2 and the y-intercept (b) is 17. This means for every increase of 1 on the horizontal axis (x-axis), there is a decrease of 2 on the vertical axis (y-axis), and the line crosses the y-axis at the point (0, 17).