XxMassomestbacchixX
Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Which equation describes a line parallel to y= 4x+ 5 through point (-2, 1)?​

Sagot :

fieryanswererft

Answer:

y= 4x + 9

Step-by-step explanation:

y= 4x+5

y= 4(x+ 5/4)

m, gradient= 4

rule if parallel: their gradients are equal

rule if perpendicular : m1*m2=-1

parallel gradient, m1=4

passes through (-2, 1) so x= -2,  y= 1

y - 1= 4(x -- 2)

y= 4x + 9

The line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9

Parallel Equations

The given equation is:

y = 4x + 5

Compare y = 4x + 5 with the equation y = mx + c

m = 4, c = 5

The equation parallel to y = 4x + 5 will also have a slope, m = 4

The point-slope form of the equation of a line is given as:

y - y₁ = m(x - x₁)

substitute m = 4, x₁ = -2 and y = 1 into the equation above

y - 1 = 4(x - (-2)

y - 1 = 4(x + 2)

y - 1 = 4x + 8

y = 4x + 8 + 1

y = 4x + 9

Therefore the line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9

Learn more on equation of a line here: https://brainly.com/question/13763238

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.