Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. a. using variables, write out the formula for the point-slope form of the equation. b. identify the values for m, x1, and y1. c. fill these values into the point-slope form of the equation from part (a), and simplify as needed. use the box provided to submit all of your calculations and final answers.



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:

https://brainly.com/question/24907633

#SPJ4