Question

Part A: Write an equation of a line that is perpendicular to the line y = 2/3x + 5 and passes through the point (4,0).

Part B: Explain how you determine the equation in 3-4 sentences using at least 6 of the words below.

- Slope
- y-intercept
- x-intercept
- perpendicular
- opposite
- reciprocal
- substituted/substitution
- slope-intercept form
- ordered pair

Answer 1

The equation is Y-Ya= m*(X-Xa)
So if the line ha to be perpendicular "m" is going to be the opposite of 2/3 that becomes -3/2
The final equation is:
Y-0=-3/2(X-4)
Y= -3/2x +6