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What is the equation of the line that passes through the point (2,5) and has a slope of 4 ? Answer:

What is the equation of the line that passes through the point (2,5) (2,5) and has a slope of 44 ?\newlineAnswer:

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Full solution

Q. What is the equation of the line that passes through the point (2,5) (2,5) and has a slope of 44 ?\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 44 and a point (2,5)(2,5) through which the line passes. We can substitute these values into the slope-intercept form to find bb. Using the point (2,5)(2,5), we get: 5=4(2)+b5 = 4(2) + b 5=8+b5 = 8 + b 5−8=b5 - 8 = b −3=b-3 = b
  3. Write Line Equation: Write the equation of the line using the slope and y-intercept.\newlineNow that we have the slope m=4m = 4 and the y-intercept b=−3b = -3, we can write the equation of the line.\newlineThe equation is y=4x−3y = 4x - 3.

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