y=mx+b is slope-intercept form
y - y1 = m(x - x1) is point-slope form
Used in algebra based math.
On a graph;
m is the slope
b is the y-intercept
x and y represent points
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Yes.
Point intercept form is the almighty form that governs all equations in mathematics involving the variables "X" and "Y", when "X" refers to the independent variable and "Y" refers to the dependent variable. It is the mother of all forms, the alpha and omega, the beginning and the end...... But seriously, THERE IS NO SUCH THING AS THE POINT-INTERCEPT FORM!!!! There IS point-slope form as well as slope-intercept form, but NO point-intercept form.
It is: y = mx+b whereas m is the slope and b is the y intercept
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)
In the case that you are using Slope-Intercept Form, no, you only plot two points: the y-intercept and one other point. If you don't use Slope-Intercept Form, then you have to use three points.