We want to determine the equation in point slope form for the line that is perpendicular to the given line and passing through the point (5.6) .
The equation and the point is;

We know that for two lines to be perpendicular, the product of their slopes should be -1.
Therefore, the slope of the perpendicular should be;

The second condition is that the line must pass through the point (5,6) , to do thid, we write the equation of the line in point slope form which is;

Inserting all values, we have,

That is the final answer.
Answer:
(4,7)
Step-by-step explanation:
I have attached what the graph looks like below.
Looking at it, you will see the point (4,7) lies on the graph.
So the answer is 2)
Answer:
The multiplicative inverse of y is - 1/y
Step-by-step explanation:
hope this helps :)
Answer:
x=10
Step-by-step explanation:
The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.

Solve by cross multiplying.
28(3x) = 20(4x+2)
84x = 80x + 40
4x = 40
x=10
The decimal of the fraction 2/7 is 0.2857142857