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Solving the equation for "y" gives you the slope-intercept form.
Yes, that is the slope intercept form of the equation for a straight line.
If: -3x+2y = 12 Then: y = 1.5x+6 in slope-intercept form
The equation y=6x+1 is in "slope intercept" form. This form is y=mx+b and b is the y intercept and m is the slope. This means we can read the slope and the intercept directly from the equation with no calculations. The slope is 6 and the y intercept is 1 ( or the point (0,1) is you prefer)
Since your equation is already in slope-intercept form, it's easy. Slope-intercept form is as follows: y=mx+b m always ends up being your slope, and b is your y intercept. Slope = 5, and the y intercept = 8 in your equation.