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What is the equation of the line that passes through the point (-2,-5) and has a slope of 5 ? Answer:

What is the equation of the line that passes through the point (−2,−5) (-2,-5) and has a slope of 55 ?\newlineAnswer:

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Q. What is the equation of the line that passes through the point (−2,−5) (-2,-5) and has a slope of 55 ?\newlineAnswer:
  1. Identify Equation Form: Identify the slope-intercept form of a line's equation.\newlineThe slope-intercept form of a line's equation 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 are given the slope mm as 55 and a point on the line (−2,−5)(-2, -5). We can substitute these values into the slope-intercept form to find bb. −5=5∗(−2)+b-5 = 5*(-2) + b −5=−10+b-5 = -10 + b b=−5+10b = -5 + 10 b=5b = 5
  3. 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=5b = 5, we can write the equation of the line.\newliney=5x+5y = 5x + 5

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