How to find the X and Y Intercepts! - Algebra (relaxing music)

Background Song: Motions | ClipChamp App How to find the X and Y Intercepts! - Algebra To find the x-intercept of a line, set y = 0 in the equation and solve for x. To find the y-intercept, set x = 0 in the equation and solve for y. Finding the x-intercept: Start with the equation of the line. For example, let's use the equation 2x + 3y = 6. Set y = 0. This is because the x-intercept is where the line crosses the x-axis, and on the x-axis, y is always zero. Substitute y = 0 into the equation. This gives you: 2x + 3(0) = 6. Solve for x. Simplify the equation: 2x = 6. Divide both sides by 2: x = 3. The x-intercept is the point (3, 0). Finding the y-intercept: Start with the same equation of the line: 2x + 3y = 6. Set x = 0. This is because the y-intercept is where the line crosses the y-axis, and on the y-axis, x is always zero. Substitute x = 0 into the equation. This gives you: 2(0) + 3y = 6. Solve for y. Simplify the equation: 3y = 6. Divide both sides by 3: y = 2. The y-intercept is the point (0, 2). In summary, to find the intercepts, you're essentially finding the points where the line intersects the x and y axes. This is achieved by setting the opposite variable to zero and solving for the remaining variable.