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Oh, dude, the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. So, to get x - 3y - 3 into that form, you just need to solve for y. Rearrange the equation to get y = (1/3)x - 1, making the slope 1/3 and the y-intercept -1. Easy peasy, lemon squeezy!
x-3y-3=0 (set equation equal to 0)
3y=x-3 (add 3y to both sides)
y=x/3-1 (divide both sides by 3)
Slope intercept form ^
because right away you can tell the slope and y-intercept
y=mx+b, because m stands for the slope and b is the y-intercept
Y= mx+b is called slope intercept form. The "m" stands for the slope and the "b" stands for the y-intercept.
Slope intercept form is displayed as y=mx+b.
The equation of a line written in slope intercept form has the form of y = mx + b. In this form, m is the slope of the line and b is the y intercept.