Answered

Connect with experts and get insightful answers on IDNLearn.com. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

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

#SPJ4

View image Qwclear
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.