Question

Question 8: Please help. Line f has a slope of −63, and line g has a slope of −84.

What can be determined about distinct lines f and g?

Answer 1

Since line f has a slope of −6/3, and line g has a slope of −8/4, the following can be determined about distinct lines f and g: C. The lines are parallel.

In Mathematics and Euclidean Geometry, parallel lines refers to two lines that are always the same distance apart and never meet.

This ultimately implies that, two (2) lines are parallel under the following conditions:

Slope of line 1,
`m_1` = Slope of line 2,
`m_2`

Slope of line f,
`m_1` = Slope of line g,
`m_2`

-6/3 = -8/4

-2 = -2

Based on the information provided about this line, we can logically deduce that these lines are parallel lines because they have the same slope value of -2.

Complete Question:

Line f has a slope of −6/3, and line g has a slope of −8/4.

What can be determined about distinct lines f and g?

A. The lines have proportional slopes.

B. The lines will intersect.

C. The lines are parallel.

D. Nothing can be determined about the lines from this information.

Answer 2

The answer is given below

Explanation:

The slope of a line is the gradient of the line and is the ratio of the vertical change (change in y) to horizontal change (change in x) between two points. The slope of a line determines its steepness and direction.

A positive slope means the line slants from the right downward while a negative slope means the line slant upwards to the left. The greater the slope of for a positive slope the greater the steepness while for a negative slope the lesser the slope the greater the steepness.

Line f has a slope of −63, and line g has a slope of −84. Since both lines have negative slope, the line slant upwards to the left. The slope of line g is smaller than that of line f, therefore line g is more steeper than line f.