ryleesmith403
ryleesmith403 ryleesmith403
  • 24-10-2018
  • Mathematics
contestada

What is an equation of the line that is parallel to y=2x−10 and that passes through the point (−2,11) ?

Respuesta :

trevordoyleione
trevordoyleione trevordoyleione
  • 24-10-2018

If its parallel to y=2x-10, which has a slope of 2, the slope of the new line is 2 (the same slope).

use point slope form:

y - y1 = M (x - x1) where M is slope

y - 11 = 2( x -(-2))

y - 11 = 2( x + 2)

y - 11 = 2( x + 2)

y -11 = 2x + 4

y = 2x +4 +11

y = 2x + 14 has a parallel slope and goes through (-2, 11)

Answer Link
Gyzmo
Gyzmo Gyzmo
  • 24-10-2018

y=2x+b

Solve for b.

Plug in coordinates.

11=2(-2)+b

Simplify.

11=-4+b

+4 on both sides.

15=b

b=15

The answer is y=2x+15.

Answer Link

Otras preguntas

Can you solve this for me by: Factor out the GCF. Then continue to factor by using other methods.2a² -32
what are the characteristics of the graph of the inequality y>-3/5x+5
You can buy 3 apples at the Quick Market for $1.05. You can buy 5 of the same apples at Stop and Save for $2.45. Which Place is the better buy? [Also may you pl
A sheet of cardboard measures 9 feet by 6 feet. Gina makes the entire sheet of cardboard into a closed box that is a perfect cube. What is the surface area of t
log3/5 25/9=x-2 ? algebra 2
how we know that ancient civilizations knew of and were concerned about infectious diseases
What two factors affect gravity and how?
The word percent (%) means " divided by _________?"
____________ is the practice of raising fish and other water-dwelling organisms for food A. Land Redamation B. Aquifier C. desertification  D. aquaculture
why do we need to know how to use a computer