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Write an equation in slope-intercept form for the line with y-intercept 6 and slope −15.

Question

Write an equation in slope-intercept form for the line with y-intercept 6 and slope −15.

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Solution

Step 1: Identify the Slope and Y-Intercept

  • The slope (m) is given as 15-15.
  • The y-intercept (b) is given as 66.

Step 2: Write the Slope-Intercept Form

  • The slope-intercept form of a line is given by the equation: y=mx+b y = mx + b

Step 3: Substitute the Values

  • Replace mm with 15-15 and bb with 66: y=15x+6 y = -15x + 6

Final Answer

The equation in slope-intercept form for the line is: y=15x+6 y = -15x + 6

This problem has been solved

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