Find Y-intercept

Front

What is the definition of a y-intercept in a linear equation?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b, where b is the y-intercept.

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

To find the y-intercept from a linear equation in slope-intercept form (y = mx + b), identify the value of b, which is the y-intercept.

Front

What does it mean if the y-intercept is 0?

Back

If the y-intercept is 0, the line passes through the origin (0, 0), indicating that when x = 0, y is also 0.

Front

How can you determine the y-intercept from a graph?

Back

To determine the y-intercept from a graph, locate the point where the line intersects the y-axis.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3, as it is the value of b in the equation y = mx + b.

Front

If a line has a y-intercept of -1, what does this indicate?

Back

A y-intercept of -1 indicates that the line crosses the y-axis at the point (0, -1).

Front

What is the significance of the y-intercept in real-world applications?

Back

In real-world applications, the y-intercept can represent the starting value of a quantity when the independent variable (x) is zero.

Front

How do you find the y-intercept from two points on a line?

Back

To find the y-intercept from two points (x1, y1) and (x2, y2), first calculate the slope (m) using m = (y2 - y1) / (x2 - x1), then use one of the points to solve for b in the equation y = mx + b.

Front

What is the y-intercept of the equation y = -x + 2?

Back

The y-intercept is 2, as it is the value of b in the equation y = mx + b.

Front

Can a line have more than one y-intercept?

Back

No, a line can only have one y-intercept, as it can only cross the y-axis at one point.