When you're given a parallel line, that means you know that both lines should have the same slope m.
And you're given a point (x,y) so you plug in the x for
in the equation and y for
in the equation.
Also plug in m because that was given.
y -
= m(x -
)
Then you can simplify the equation to get y = mx + b
Two other examples of linear relationships are changes of units and finding the total cost for buying a given item x times.
<h3>
Other examples of linear relationships?</h3>
Two examples of linear relationships that are useful are:
Changes of units:
These ones are used to change between units that measure the same thing. For example, between kilometers and meters.
We know that:
1km = 1000m
So if we have a distance in kilometers x, the distance in meters y is given by:
y = 1000*x
This is a linear relationship.
Another example can be for costs, if we know that a single item costs a given quantity, let's say "a", then if we buy x of these items the total cost will be:
y = a*x
This is a linear relationship.
So linear relationships appear a lot in our life, and is really important to learn how to work with them.
If you want to learn more about linear relationships, you can read:
brainly.com/question/4025726
D is integer and rest r rational I guess
9514 1404 393
Explanation:
We can find the slope by solving for y.
3x +2y +7 = 5x +3y +10
-2x -3 = y . . . . . . . . . . . . . add -5x-10-2y to both sides of the equation
In this form, the slope (m) is the coefficient of x, -2. Hence m = -2.
__
<em>Alternate solution</em>
A graph of the equation shows it has an x-intercept of -1.5 and a y-intercept of -3. The slope (m) is then "rise" divided by "run", or ...
m = rise/run = -3/1.5
m = -2
No solution as they are parallel lines. so, inconsistent
