The y intercept is 3 and the slope is -1. Start by going UP the y-axis 3 units, and put a point at (0,3). From this point, the slope is -1/1, so go DOWN 1, go RIGHT one unit, and put the second point. Connect the dots. It should look like this:
The above equation is in slope intercept form or y=-mx+b where m is the slope and b is the y-intercept which occurs when x=0. In this example, slope=m=-1 and y-intercept=b=3.
I assume you want a plot of this equation, so here's a plot which shows the slope of -1 and y-intercept of 3 at x=0:
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 3/1 = 3.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 3/1 = 3.
Slope is -1/1 = -1.
Equation in slope-intercept form: y=-1*x+3.
I hope the above steps were helpful.
And good luck in your studies!
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