What is the slope of a line that is parallel to the line shown a.-4 b.-4/3 c.-3/4 d.-2/3

Hi,

Here, the given question is incomplete. The equation for first line should be given.

Concept: The equation of a line having slope 'm' and intercept at 'c' to the y-axis is given as

y= mx +c (i)

If there is an other line which is parallel to given line then the slope of second line will be same.

Now, we are helping you by considering this question.

Find the slope of a line which is parallel to the line having equation 4x +y -5 = 0

Solution:

Step-01: we shall translate the given equation in to y = mx +c and find its slope.

Step-02: 4x+y - 5 =0 can be written as y = - 4x +5

Step-03: The slope of given line m = - 4

Step-04: The slope of required line which is parallel to the given line will be - 4. (by using the given concept of parallel property)

Hence, the given option (a) - 4 will be correct.