Question

Imagine that you are given two linear equations in slope-intercept form. You notice that the slopes are the same but the y-intercept is different. How many solutions woukd you expect for this system of equations

Answer 1

infinitely many

Explanation:

Apex

Answer 2

No solutions

Explanation:

Given two linear equations in slope-intercept form with same slopes but different y-intercepts.

To find the number of solutions,we can get for this system of equations.

Solution:

The slopes of two lines say
`m_1` and
`m_2` are related as:

`m_1=m_2`

only when the lines are parallel or if both are equations of same line.

And since the y-intercept of given lines are different, so we can conclude that the equations are of two different lines that are parallel to each other.

Thus the given system of linear equations with same slope but different y-intercepts will have no solution as the given lines are parallel to each other and hence would never meet.