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What is the equation of the line that passes through the point (-1,-6) and has a slope of 5 ? Answer:

What is the equation of the line that passes through the point (−1,−6) (-1,-6) and has a slope of 55 ?\newlineAnswer:

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Full solution

Q. What is the equation of the line that passes through the point (−1,−6) (-1,-6) and has a slope of 55 ?\newlineAnswer:
  1. Identify Slope-Intercept Form: Identify the slope-intercept form of a line's equation.\newlineThe slope-intercept form is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Find Y-Intercept: Use the given slope and point to find the y-intercept bb. We have the slope mm as 55 and a point (−1,−6)(-1, -6) that the line passes through. We can substitute these values into the slope-intercept form to find bb. −6=5(−1)+b-6 = 5(-1) + b
  3. Solve for b: Solve for b.\newline−6=−5+b-6 = -5 + b\newlineb=−6+5b = -6 + 5\newlineb=−1b = -1
  4. Write Line Equation: Write the equation of the line using the slope and y-intercept.\newlineNow that we have the slope m=5m = 5 and the y-intercept b=−1b = -1, we can write the equation of the line.\newliney=5x−1y = 5x - 1

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