Which is an equation of the line parallel to y = 2x + 7 and passes through (-1, 3)?

The equation of line parallel to y = 2x + 7 and passes through (-1, 3) is:

Step-by-step explanation:

Given equation of line is:

y = 2x + 7

The general form of equation in slope-intercept form is:

Here m is the slope and b is the y-intercept

Comparing the equations, we get

m = 2

Let m_1 be the slope of line parallel to given line

The equation of line parallel to given line will be:

Putting the value of slope

To find the y-intercept, putting (-1,3) in the equation

The equation is:

Hence,

The equation of line parallel to y = 2x + 7 and passes through (-1, 3) is:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.