You can put this solution on YOUR website! You need two points to draw a line.
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The y-intercept and x-intercept are often useful points to know, if only because problems ask for them.
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y = mx + b is the slope-intercept form of the equation.
so
y = -3x -2 reveals the slope and y-intercept
m=-3, the slope
b=-2, the y-intercept
which is the point (0,-2)
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The x-intercept is the value of x when y = 0.
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Substitute y =0 in the equation to show
3x -2 = 0
add 2 to both sides
3x = 2
divide both sides by 3
x = 2/3
So the x-intercept is the point (2/3,0)
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But you can pick any value of 'x' and compute the value of 'y' to define the (x,y) coordinates.
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