Question

consider the line y=-5/2×+9 What is the slope of a line parallel to this line? What is the slope of line perpendicular to this line ?

Answer 1

Answer:

Slope of the parallel line = -5/2

Slope of the perpendicular line = 2/5

Explanations:

The given equation of the line is:

`y\text{ = }(-5)/(2)x\text{ + 9}`

The slope-intercept form of the equation of a line is:

y = mx + c

where m is the slope of the line

and c is the y-intercept

Comparing this to the given equation

m = -5/2

c = 9

Note:

When two equations are parallel, they have equal slope

When two equations are perpendicular, the product of their slopes equals -1, that is slope of the perpendicular line = -1/m

The slope of the parallel line = -5/2

The slope of the perpendicular line = -1 ÷ (-5/2)

The slope of the perpendicular line = -1 x (-2/5)

The slope of the perpendicular line = 2 / 5