How do you write an equation in slope intercept form given (2, 1) and has slope 3?
Standard format of the equation is
Where the slope is
We are told that the straight line graph passes through the point
So by substitution you end up with:
Subtract 6 from both sides giving
So the equation is
y = 3x - 5
Begin by writing in the form : y - b = m(x - a) , the standard form for the equation of a straight line.
In this form . m = gradient(slope) and (a,b) , a point on the line.
here m = 3 and (a,b) = (2,1)
hence : y - 1 = 3(x - 2 ) → y - 1 = 3x - 6
in slope-intercept form y = 3x - 5