# What does the y-intercept of this graph represent?

## What does the y-intercept of this graph represent?

The y intercept is the point where the line crosses the y axis. If given the line in slope intercept form y = mx + b, the y-intercept would be the point (0,b), because the y-axis is at x = 0.

### What is the y-intercept of my equation?

To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’.

#### How do you find Y-intercept from two points?

Steps

1. Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11)
2. Substitute the slope(m) in the slope-intercept form of the equation.
3. Substitute either point into the equation. You can use either (3,5) or(6,11).
4. Solve for b, which is the y-intercept of the line.
5. Substitute b, into the equation.

What does y-intercept means?

Definition of y-intercept : the y-coordinate of a point where a line, curve, or surface intersects the y-axis.

What does y-intercept represent in a word problem?

In the particular context of word problems, the y-intercept (that is, the point when x = 0) also refers to the starting value. For a time-based exercise, this will be the value when you started taking your reading or when you started tracking the time and its related changes.

## How do I find slope and y-intercept?

Using the “slope-intercept” form of the line’s equation (y = mx + b), you solve for b (which is the y-intercept you’re looking for). Substitute the known slope for m, and substitute the known point’s coordinates for x and y, respectively, in the slope-intercept equation. That will let you find b.

### How do you graph 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 write y-intercept?

The y-intercept formula says that the y-intercept of a function y = f(x) is obtained by substituting x = 0 in it. Using this, the y-intercept of a graph is the point on the graph whose x-coordinate is 0. i.e., just look for the point where the graph intersects the y-axis and it is the y-intercept.

What does the y-intercept mean in a quadratic equation?

The y -intercept is the point at which the parabola crosses the y -axis. The x -intercepts are the points at which the parabola crosses the x -axis.

What is the y-intercept in slope?

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). This useful form of the line equation is sensibly named the “slope-intercept form”.

## What does the y intercept represent in a graph?

y intercept represent the value of y when the independent x=0. If a word problem deals with a variable x such that it begins with 0, such as money or time and it cannot be negative, the y intercept represent the y value at the start or beginning when x=0.

### What is the formula for finding y intercept?

The Formula. In general, the slope intercept form assumes the formula: y = mx + b. m is the slope (lesson on slope ) mnemonic : ‘m’ means ‘move’. b is the y -intercept ( lesson on the y-intercept ) mnemonic : ‘b’ means where the line begins.

#### How to solve for the y intercept?

1) Write down the equation of the line. If you already have the equation of the line, you can find the y-intercept with a little algebra. 2) Substitute 0 for x. The y-axis is a vertical line along x = 0. 3) Solve for y. The answer is the y-intercept of the line. The y-intercept of the line is 4. 4) Confirm by graphing (optional). To check your answer, graph the equation as neatly as you can. The point where the line crosses the y-axis is the y-intercept. 5) Find the y-intercept for a quadratic equation. A quadratic equation includes a variable (x or y) raised to the power of 2.

How to find the y intercept with two points?

Calculate the slope from 2 points. For Example,Two points are (3,5) and (6,11)

• Substitute the slope (m) in the slope-intercept form of the equation.
• Substitute either point into the equation. You can use either (3,5) or (6,11).
• Solve for b,which is the y-intercept of the line.
• Substitute b,into the equation.