What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1 = 0?

y= -2x +4

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Let's rewrite the equation of the given line in the form of y=mx+c, so that we can obtain it's gradient.

2x +y -1= 0

y= -2x +1

Thus gradient of the line is -2.

subst. m= -2 into the equation:

y= -2x +c

To find the value of c, substitute a coordinate.

When x=1, y=2,

2= -2(1) +c

2= -2 +c

c= 2 +2

c= 4

Thus, the equation of the line is y= -2x +4.

step-by-step explanation:

if you want to separate 54 into 6 individual tiers then you need to divide if you want to separate 54 into 6 individual tiers then you need to divide 6 and 54.

if you divide 9 by 6 you will get 54.

- hope i .

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.