anthonysapio2 anthonysapio2
  • 03-12-2021
  • Mathematics
contestada

Write an equation of the line that passes through (−5, −1) and is parallel to the line y = 4x − 6.

Respuesta :

lor067ewp lor067ewp
  • 04-12-2021

Answer:

The equation is y = 4x + 19

Step-by-step explanation:

y = 4x - 6    Using y = mx + b, the slope = 4.  

Parallel lines have the same slope.

Now substitute the slope = 4 and the given ordered pair (-5, -1) into the slope-intercept form and solve for b.

y = mx + b

-1 = 4(-5) + b

-1 = -20 + b

19 = b

Now substitute into y = mx + b   m = 4 and b = 19

The equation is y = 4x + 19

Answer Link

Otras preguntas

When solving a word problem, what step should you always do after reading the problem, but prior to writing the equation?
Which pair of molecules both contain carbon atoms?
How did the issue of slavery divide the union
Find the difference: 7 7/8 - 3 1/4=?
Which statement best applies to the slope of the line below? A. the slope is negative B. the slope is zero C. the slope is positive D. the line has no slope
In their theories about government, Locke and Hobbes agreed that __________. a. citizens are not required to give up any individual rights c. citizens and their
How does water help cells keep an even temperature despite temperature changes in the environment?
Explain why an addition problem that has a 4-digit addends could have a 5 digit sum.
how many feet does 5 yards equal
A skier needs to buy new ski poles during a ski trip to Utah. The price of the poles is $24 and the sales tax is 4.7%. What is the total cost of the poles, roun