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Review of x-intercepts and y-intercepts of lines, including definitions and examples.
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Learn about the slope-intercept form of linear equations with this Khan Academy video.
Let's explore different ways to find and visualize slopes and intercepts, and how these concepts can help us solve real-world problems. **Unit guides are here!** Power up your classroom with engaging strategies, tools, and activities from Khan Academy’s learning experts.
I encourage you to pause this video, and figure out what are the x and y-intercepts for the graph that represents the solutions, all the xy pairs that satisfy this equation. Well the easiest thing to do here, let's see what the y value is when x = 0 and what x value is when y = 0.
The y-intercept is the y-coordinate when x=0, and the x-intercept is the x-coordinate when y=0. The y-intercept is not in the table. Since the table represents a line, there's a constant rate of change of y with respect to x.
Course: Algebra 1 > Unit 4. Lesson 4: x-intercepts and y-intercepts. Intro to intercepts. x-intercept of a line. Intercepts from a graph. Intercepts from an equation.
For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
Your given line y = -5x +7, is in slope intercept form, so you can see the slope is -5. Use the point slope form to quickly write an equation. Because the line you want is parallel, you know it has the same slope as your given line.