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2x+y=17 in slope intercept form

User Mjdth
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2 Answers

3 votes

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:

  1. Subtract 2x from both sides of the equation: y = -2x + 17.
  2. 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).
User Nikhil Prabhu
by
5.8k points
3 votes
y=-2x+17

Hope it helped
User DAme
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5.8k points