Sage-Tips

How do you find the equation of a line given the slope and X intercept?

Explanation:

1. Let k be some constant such that. y=mx+k. where m is the slope.
2. If the x-intercept is 4. this means that x=4 when y=0.
3. So our general equation: y=mx+k. becomes. 0=34⋅4+k.
4. →k=−3.
5. Using the above logic we can see that the general case when given. a slope of m and. an x-intercept of k. is. y=mx−km.

What is same slope and same X and Y-intercept?

If the two linear equations have the same slope (and the SAME y-intercept), the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions (intersecting everywhere.)

What kind of graph if both slopes and y-intercepts are equal?

A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system.

What is it called when two lines have the same slope and y-intercept?

This means the two equations with the same slope and the same y-intercept. When lines have the same slope and different y-intercepts they are parallel lines. Parallel lines never intercept. Because these lines never intercept, they have no solution.

How do you find the point-slope form given the slope and y-intercept?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

What is the relationship between the slope and the y-intercept to the systems of linear equations?

Slope and y-Intercept Values The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

When two lines have different slopes the graphs of the equation are?

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

What is the relationship between the slope and the Y-intercept to the systems of linear equations?

What is consistent and independent?

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . If a system has no solution, it is said to be inconsistent .

What are lines that have the same slope?

As mentioned above, parallel lines have the same slope.