Write an equation for a line in slope-intercept form passes through (3, 3) and (-6,-3).
Slope intercept form y = mx + b m is slope b is y- axis intercept (the value when x = 0)
slope = (y1-y2) / (x1-x2) = (3- -3) / (3 - -6) = 6/9 = 2/3
y = 2/3 x + b now put in one of the points to find the value of 'b'
3 = 2/3 (3) + b
3 = 2+b b= 1
y = 2/3 x + 1
Slope intercept form y = mx + b m is slope b is y- axis intercept (the value when x = 0)
slope = (y1-y2) / (x1-x2) = (3- -3) / (3 - -6) = 6/9 = 2/3
y = 2/3 x + b now put in one of the points to find the value of 'b'
3 = 2/3 (3) + b
3 = 2+b b= 1
y = 2/3 x + 1