222k views
4 votes
Write the point slope form of the equation of the line described question 17

Write the point slope form of the equation of the line described question 17-example-1
User Mezulu
by
8.4k points

1 Answer

1 vote

Answer:


y - 2 = -\frac34(x - 4)

Explanation:

Hello!

The equation in #17 is written in Slope-Intercept Form:
y=mx+b

  • y = output
  • m = slope
  • x = input
  • b = y-intercept

Point Slope form is the equation given slope and a point:
y - y_1 = m(x - x_1)

  • y = y - value of second point
  • y1 = y - value of first point
  • m = slope
  • x = x - value of second point
  • x1 = x - value of first point.

The point given to us is (4,-2), which we can use as x1 and y1.

The slope is given in the slope-intercept form equation: -3/4

Plug in the values to find the equation:


  • y - y_1 = m(x - x_1), (4,2), -\frac34

  • y - 2 = -\frac34(x - 4)

The equation is
y - 2 = -\frac34(x - 4).

User Evgeny Kuzyakov
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories