brynleafrick
brynleafrick brynleafrick
  • 10-12-2021
  • Mathematics
contestada

Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of
2.
Answer in slope-intercept form

Respuesta :

jen4755 jen4755
  • 10-12-2021

Answer:

y = -3/2x + 2

Step-by-step explanation:

Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.

y = 2/3x + 8 becomes

2 = -3/2(0) + b  We substitute in the x and y values, but we have to figure out what the last number will be.

2 = 0 + b

b = 2

So put the whole equation together

y = -3/2x + 2

Answer Link

Otras preguntas

Find an expression for f−1(x), if f(x) = 5 − 2x
What is the y -intercept of y=-3x
What is the arrow in a chemical equation called
If the [OH-]=8.6*10^-13, what would the pH of this solution be? Would this solution be considered acidic or basic? **biochem
Look at the scientific names for the two organisms below: Felis domesticus Felis bengalensis What can you tell about these two organisms from their scientific n
What is the slope of the equation y=5/4x-7/4 -7 -7/4 5/4 5
Which is an advantage the electronic scheduling tools have over paper calenders?​
What does Macbeth consider a “sorry sight”? A. Duncan’s body B. Banquo’s ghost C. His bloody hands D. The guilty grooms
FIND SURFACE AREA OF FIGURE ABOVE. WILL MARK BRAINL
Which statement is true about Angle B P D? Line A B intersect line C D at point P. It is adjacent to Angle A P C. It is complementary to Angle B P C. It is con