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How do you find the x and y-intercepts of two lines?

How do you find the x and y-intercepts of two lines?

Here’s the summary of our methods:

  1. Get the two equations for the lines into slope-intercept form.
  2. Set the two equations for y equal to each other.
  3. Solve for x.
  4. Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.

How are X intercepts and y-intercepts different?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

What is the slope-intercept form of the equation y 7?

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is 7 .

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What does it mean if two equations have the same y-intercept but different slope?

Explanation: If two lines have different slopes, they cannot be the same line. However, if they share a y-intercept, that means they cross the y -axis at the same y value. If they share an x value and corresponding y value, they intersect at that point, in this case their y-intercept.

How do you find the x intercept in an equation?

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation y = 3 x − 1 \displaystyle y=3x – 1 y=3x−1. To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

What is the x intercept for the equation?

Intercepts of a Linear Equation

x intercept The x intercept is the point where the line crosses the x axis. At this point y = 0.
y intercept The y intercept is the point where the line crosses the y axis. At this point x = 0.

What is Y X on a graph?

A coordinate grid has two perpendicular lines, or axes (pronounced AX-eez), labeled just like number lines. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis.

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What happens when two equations have the same y-intercept?

If the y-intercepts are the same, the two equations represent the same line and there are INFINITELY MANY SOLUTIONS. 3b. If the y-intercepts are different, the two equations are distinct parallel lines and have NO SOLUTION.

Can 2 different linear functions have the same y-intercept?

Yes, two different linear functions can have the same y-intercept. To illustrate this, consider the following two linear functions: y = 2x + 5. y = 8…

What is the X intercept form?

A linear equation has the form y = mx + b, where M and B are constants. The x-intercept is the point where the line crosses the x-axis. By definition, the y-value of a linear equation when it crosses the x-axis will always be 0, since the x-axis is stationed at y = 0 on a graph.

What is the y-intercept of the line whose equation is 2x + 5Y = 8?

The line through (1, 0) and parallel to x – y = 7. y=x-1 The line with m = 2, intersecting 2x – 3y = 6 at x = 3. y=2x-6 The y-intercept of the line whose equation is 2x + 5y = 8 is 8/5 The line including (3, 1) and (-2, 3).

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What is the slope intercept form of a linear equation?

The slope-intercept form of a linear equation is: Where m is the slope and b is the y-intercept value. Substituting the values from the problem gives:

What is the slope of the line whose equation is 2x-1 = 0?

The slope of the line whose equation is 2x – 1 = 0 is no slope The slope of the line whose equation is 3y + 2x = 1 is -2/3 The slope of the line whose equation is y – 3 = 0 is 0 Find the slope of the line that passes through the points (2, 1) and (-4, -5).

What is a vertical line that has no y intercept?

A vertical line that is not the y ‐axis has no y ‐intercept. One way to graph a linear equation is to find solutions by giving a value to one variable and solving the resulting equation for the other variable. A minimum of two points is necessary to graph a linear equation.