Question

Find the slope of a line perpendicular to each given line. 3-4x =3y

Answer 1

To find the slope of a line perpendicular to the given line, we need to determine the slope of the given line first. The equation of the given line is 3 - 4x = 3y.

We can rewrite this equation in slope-intercept form y = mx + b, where m represents the slope. Rearranging the equation, we get:

3y = -4x + 3

y = (-4/3)x + 1

From this equation, we can see that the slope of the given line is -4/3.

To find the slope of a line perpendicular to this, we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other. The negative reciprocal of -4/3 is 3/4.

Anyway the slope of a line perpendicular to the given line 3 - 4x = 3y is 3/4.

Answer 2

3/4

Explanation:

To find the slope of a line perpendicular to another line, we need to find the negative reciprocal of the slope of the given line.

The slope of the given line can be found by rearranging the equation in slope-intercept form: y = mx + c

3-4x = 3y

3y = -4x + 3

y =- 4/3 x + 1

While comparing with y = mx + c, we get

m = -4/3

Therefore, the slope of the given line is -4/3.

The slope of a line perpendicular to the given line will be the negative reciprocal of -4/3, which is 3/4.

Therefore, the answer is 3/4.