Question

What is the slope of the line parallel to y= -5/2x + 2

Answer 1

Answer: -5/2

Explanation:

In order to find the slope of a line that's parallel to the line
`\sf{y=-\cfrac{5}{2}x+2}`, Recall that parallel lines have equal slopes.

So, the new line will have the same slope, which is -5/2.

Key Info

Perpendicular lines have opposite reciprocal slopes.

Vertical lines have undefined slopes.

Horizontal lines have zero slopes.

Answer 2

Slope of the parallel line = -5/2

Explanation:

Parallel lines have same slope.

`\sf y =(-5)/(2)x + 2`

Compare this with the slope- y intercept form: y = mx + b

Here, m represents the slope and b represents the y-intercept.

`m = (-5)/(2)\\`

Answer:

`\boxed{\text{\bf Slope of the parallel line = $(-5)/(2)$} }`