Write an equation of the line containing the given point and perpendicular to the given line:
(4,- 9); 2x+9y=5

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

2x+9y=5

9y = - 2x + 5

y = -2x/9 + 5/9

Comparing with the slope intercept form, slope = -2/9

If the line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of the slope of the given line.

Therefore, the slope of the line passing through (4,-9) is 9/2

To determine the intercept, we would substitute m = 9/2, x = 4 and y = -9 into y = mx + c. It becomes

- 9 = 9/2×4 + c = 18 + c

c = - 9 - 18 = - 27

The equation becomes

y = 9x/2 - 27

stops on an even number.

answer: it actually depends on which is the independent variable and which is the dependent variable. let us say we're looking at a linear equation. y=2x+3. we theoretically could switch the equation to be x=(y-3)/2 and it would be the same line. so either a causes b or it can be that b causes a. so technically the answer is false

step-by-step explanation: