1) You write the equation in slope-intercept form, if it isn't in that form already.
2) An easy way to graph it is to start with the y-intercept. For example, if the intercept is +5, you graph the point (0, 5). Then you add an additional point, according to the slope. For example, if the slope is 1/2, you go 2 units to the right, and one up, and graph a point there.
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A vertical line on a graph has infinite slope and no y-intercept. Its equation is [ x = a number ]. The number is the line's x-intercept.
An intercept is where the graph crosses an axis.A line in slope-intercept form is in the form y = ax + b, where "a" is the slope, and "b" is the y-intercept. For example, if y = 3x -4, the slope of the line is 3, and it crosses the y-axis at -4.
The y intercept is 3, and since your slope is 0, you have a horizontal line.
Yes
The slope is how steep the line is and the y-intercept is where the line hits the y-axis. The two need to work together to graph a line because without one of those variables, you would not be able to properly plot a line.