Answer :
The point slope form of the equation is = P2 = (11, 2)
What is point slope?
- The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables. Depending on the facts at hand, there are different ways to find a line's equation. Several techniques include:
- Form of point slope
- Form of a slope-intercept
- Two-point form for intercepting
acc to our question-
- Since m = and P1 = (2, -1) then x1 = 2 and y1 = -1. 1
- y – y1 = m (x – x1)
- y – (-1) = (x – 2)
- y + 1 = (x – 2)
- 3 (y + 1) = 1(x – 2)
- 3y + 3 = x – 2
- 5 = x – 3y or x – 3y = 5
- (This the standard formula of the line)
- Step 2: Calculate P2.
- Select any valueyou with for x or y and substitute it into the equation found in
- step 1. For this example y will equal 2.
- x – 3y = 5
- x – 3(2) = 5
- x – 6 = 6
- x = 11
learn more about slope click here:
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