Can the slope be the same as the y-intercept?

Can the slope be the same as the y-intercept?

In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis).

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

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. 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.

Is B equal to the y-intercept?

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

What happens if two lines have the same slope and y-intercept?

Same Line: 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.)

When two linear equations are solved for Y and the slopes are different and the y-intercepts are different?

parallel
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.

How do you graph using slope and y-intercept?

Steps for graphing an equation using the slope and y-intercept:

1. Find the y-intercept = b of the equation y = mx + b.
2. Plot the y-intercept. The point will be (0, b).
3. Find the slope=m of the equation y = mx + b.
4. Make a single step, using the rise and run from the slope.
5. Connect those two points with your line.

How do you find the slope and y-intercept of a word problem?

When a word problem involves a constant rate or speed and a beginning amount, it can be written in slope-intercept form: y=mx+b. To do this, recognize which number will represent m, the rate, and which number will represent b, the y-intercept.

What information does the slope-intercept form of a linear equation reveal about a line?

The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.

How do you find slope in slope-intercept form?

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.

Why are M and B used in slope-intercept form?

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation ‘y = mx + b’, ‘b’ is the point, where the line intersects the ‘y axis’ and ‘m’ denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

What happens when the slope is different and the y-intercept is different?

If the lines have the same slope and the same y interecept, then they are exact same line and thus an infinite number of solutions. if they have different slopes, then there is exactly one solution. If they have different slopes but the same y-intercept (call it Q) then their solution is (0, Q).