I cant see the picture good can you write it out not in picture because it is blury for me I dont know about the others
Answer:
The slope is
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have
Substitute the values
The rule used to describe this transformation is (x, y)→(x - 4, y + 5)
<h3>
Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> rotation, reflection, translation and dilation.</em>
If a point A(x, y) is translated a units left and b units up. the new point is at A'(x - a, y + b)
Given Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P’. The rule is given by:
(x, y)→(x - 4, y + 5)
The rule used to describe this transformation is (x, y)→(x - 4, y + 5)
Find out more on Transformation at: brainly.com/question/1462871
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:

Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

The coefficient of the x is the slope

The slope of the perpendicular line is the negative reciprocal of m, thus

We know the second line passes through (2,3). That is enough information to find the second equation:


Operating

Simplifying

That is the equation in slope-intercept form. Intercept: y=4