How to Find x Intercept, y Intercept, and Intersections
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(0:28) What is the y-Intercept? The y intercept is the point where a line crosses the y-axis. To find the y-intercept, substitute $x = 0$ into the equation. For example, in $y = 200 – 50x$, setting $x = 0$ gives $y = 200$, meaning the y-intercept is at (0, 200).(0:55) What is the x-Intercept? The x intercept is the point where a line crosses the x-axis. To find the x-intercept, substitute $y = 0$ and solve for $x$. For example, in $y = 200 – 50x$, setting $y = 0$ gives $0 = 200 – 50x$, solving for $x$ results in $x = 4$, meaning the x-intercept is at (4, 0).(1:52) How to Find the Intersection of Two Lines? The intersection of two lines is the point where they meet. To find this point, set the equations equal to each other and solve for $x$. Then, substitute $x$ back into one of the equations to find $y$.(2:10) Finding Intersection (Example): Given $y = 200 – 50x$ and $y = 150 – 30x$, setting them equal gives $200 – 50x = 150 – 30x$, solving for $x$ gives $x = 2.5$, and substituting into $y = 150 – 30x$ gives $y = 75$, so the intersection is (2.5, 75).
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