Intercepts of a graph
Intercepts of a graph is a Grade 7 math skill from Yoshiwara Intermediate Algebra that teaches students to identify x-intercepts and y-intercepts of functions. The x-intercept is where the graph crosses the x-axis (y = 0) and the y-intercept is where it crosses the y-axis (x = 0).
Key Concepts
Property The points at which a graph crosses the axes are called the intercepts of the graph.
To find the intercepts of a graph: 1. To find the $x$ intercept, we set $y = 0$ and solve for $x$. 2. To find the $y$ intercept, we set $x = 0$ and solve for $y$.
Examples To find the intercepts of $3x + 2y = 12$, first set $y=0$ to get $3x = 12$, so the $x$ intercept is $(4, 0)$. Then set $x=0$ to get $2y=12$, so the $y$ intercept is $(0, 6)$.
Common Questions
What is the x-intercept of a graph?
The x-intercept is the point where the graph crosses the x-axis, where y = 0. To find it, set y = 0 in the equation and solve for x.
What is the y-intercept of a graph?
The y-intercept is where the graph crosses the y-axis, where x = 0. Substitute x = 0 into the equation and solve for y.
How do you find intercepts from an equation?
For the x-intercept, set y = 0 and solve for x. For the y-intercept, set x = 0 and solve for y. Both give coordinate points.
Can a function have more than one x-intercept?
Yes. Linear functions have at most one x-intercept, but quadratic and higher-degree functions can have multiple x-intercepts (also called roots or zeros).