Question

Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.

Answer 1

Answer:

hey here is your solution

pls mark it as brainliest

Step-by-step explanation:

$so \: here \: \\ for \: a \: certain \: line \: \\ its \: given \: coordinates \: are \: (8,4) \\ so \: let \: then \\ (x1,y1) = (8,4) \\ also \: \: its \: slope \: be \: m2 \\ \\ moreover \: this \: line \: \\ is \: parallel \: to \: \: y = 4x + 2 \\ \\ ie \: \: 4x - y = - 2 \\ comparing \: this \: equation \: with \: \: ax + by = c \\ we \: get \\ a = 4 \: , \: b = - 1 \: , \: c = - 2 \\ so \: hence \: using \\ slope \: (m1)= \frac{ - a}{b} \\ \\ = \frac{ - 4}{ - 1} \\ \\ = 4 \\ \\ so \: as \: these \: two \: lines \: are \: parallel \\ m1 = m2 \\ \\ so \: we \: know \: that \\ slope \: point \: form \: equation \: is \: give \: by \\ y - y1 = m(x - x1) \\ \\ (y - 4) = 4(x - 8) \\ y - 4 = 4x - 32 \\ 4x - y = 28 \\ \\ hence \: equation \: of \: a \: line \: that \\ passes \: through \: the \: point \: (8, 4) \: and \: \\ is \: parallel \: to \: the \: line \: y = 4x + 2 \: \: is \\ 4x - y = 28$

Answer 2

Answer:

y - 4x + 28 = 0

Step-by-step explanation:

If a line is parallel to another line, slope of both the lines will be same. Steepness of both lines is equal.

Slope of a line is given by, y = mx + c where m is the slope.

So the slope of line y = 4x + 2 is 4.

Now we have the information that a line which has a slope of 4 and passes through the point (8,4) and we have to find it's equation.

Using slope point form of straight line,

⇒ y - y1 = ( x - x1 ) m

Here,

x1 and y1 are the points through which the given line passes.

m is the slope.

By substituting the known values in equation, we get :

⇒ y - 4 = ( x - 8 ) ( 4 )

⇒ y - 4 = 4x - 32

⇒ y - 4 - 4x + 32 = 0

⇒ y - 4x + 28 = 0

This is the required equation.

Learn More :

Find the equation of a straight line which has slope -5/4 and passing through the point (-1,2).

https://brainly.in/question/12182085

Find the equation of a straight line which has slope -5/4 and passing through the point (-1,2).

https://brainly.in/question/35823661

Find the equation of the line which goes through the point (3,10) and is parallel to the line 7x-y=1.

https://brainly.in/question/45283432