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For each problem, find the x-intercept and the y-intercept and plot those points on the graph (use and re-use box 2). Then visualize/sketch the graph. Finally, graph the equation (use and re-use box 3) and compare.
X Intercept on a Graph. To find the x-intercept of a line of the form y = mx+b, substitute y = 0. Example: To calculate the x-intercept of any line for example the line y = 2x−4, put y = 0 in the equation of a line. Solution: 0 = 2x−4 4 = 2x 2 = x. So, the x-intercept of the line y=2x−4 is 2.
11 paź 2024 · To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x. You can also use the graph of the line to find the x intercept. Just look on the graph for the point where the line crosses the x-axis, which is the horizontal axis.
Let’s understand how to find x intercept on a graph. X-intercept is a point where the line crosses the x-axis. Consider the line shown in the graph below. The line cuts the x-axis at point (5,0). Thus, the x-intercept of the line is 5.
Graphing Lines Using Intercepts. Since two points determine a line, we can use the \ (x\)- and \ (y\)-intercepts to graph linear equations. We have just outlined an easy method for finding intercepts; now we outline the steps for graphing lines using the intercepts.
Let's graph -5x + 4y = 20 from its intercepts. Intercepts are the places where a line crosses the x- and y-axes. When a line crosses the x-axis, the y value is 0.
An x-intercept is where a graph crosses (or at least touches) the x-axis (that is, the horizontal axis); a y-intercept is where the graph crosses (or just touches) the y-axis (that is, the vertical axis).
