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what is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1?; which of the following equations is the translation 2 units left of the graph of y = |x|?; write the equation of the line that has an undefined slope and passes through the point (4, 7).; what is the slope of the line that passes through the points (-3, 5) and (1, 7)?; what is the equation of a line that has a slope of -5 and passes through the point (0, 2)?; a point having a negative abscissa and negative ordinate is in quadrant ____.; if y is 6 when x is 3 and y varies directly with x, find y when x is 8.; is the domain x or y

Sagot :

The slope of the line perpendicular to the line with given equation is equal to -2/3.

The equation of the line is 2y = 3x - 1 and if we write this in slope intercept form then we write it as

2y = 3x - 1

dividing by 2 on both sides we get

y = 3/2x - 1/2

Slope of this line is m = 3/2. Now the slope of line perpendicular to this will be equal to -1/m that is equal to -2/3.

For second part,

If we translate the graph y = |x| to two units left, then we get the expression as y = |x + 2|. The graph of this attached below.

Now, the equation of line that has an undefined slope and passes through the point (4, 7) is expressed as

(y - 7) = 1/0(x - 4)

0 = x - 4

=> x = 4

Now, to calculate slope of line passing through two points (x₁, y₁) and (x₂, y₂) we use the formula

m = (y₂ - y₁)/(x₂ - x₁)

m = (7 - 5)/(1 + 3)

m = 2/4

m = 1/2

Now, the equation of line that has a slope of -5 and passes through the point (0, 2) is expressed as

(y - 2) = -5(x -0)

y - 2 = -5x

y = -5x + 2

Now, a point having a negative abscissa and negative ordinate is in quadrant III.

Now, if y is 6 when x is 3 and y varies directly with x then it means that y is two times that of x. This means that when x is 8, then the value of y is equal to 16.

Learn more about Slope at:

brainly.com/question/3493733

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