find the equation of ythe line of the line that contains the ordered pair given on the table x = 1, 2,3 and Y = 2, 5,8. Present answer as y=mx+c
So we have these ordered pairs (1, 2) (2, 5) (3, 8)...we only need to find the slope between any two and use one of the pairs to write the equation
Using the first two, the slope is
[5 - 2 ]/ [2 - 1 ] = 3/1 = 3
And using this and the first point, we have
y - 2 = 3(x - 1) simplify
y - 2 = 3x - 3 add 2 to both sides
y = 3x - 1
And that's the equation in y = mx ± b form
So we have these ordered pairs (1, 2) (2, 5) (3, 8)...we only need to find the slope between any two and use one of the pairs to write the equation
Using the first two, the slope is
[5 - 2 ]/ [2 - 1 ] = 3/1 = 3
And using this and the first point, we have
y - 2 = 3(x - 1) simplify
y - 2 = 3x - 3 add 2 to both sides
y = 3x - 1
And that's the equation in y = mx ± b form