Answer:
The equation is y = 2/3x + 1.
Step-by-step explanation:
To write a slope-intercept form equation for this problem, first you need to write the formula for the slope of a line.
The slope formula is rise/run.
The rise from (3,3) to (-6,-3) is -6.
The run from (3,3) to (-6,-3) is -9.
That makes the slope -6/-9, which is simplified to 2/3.
So the simplified slope is 2/3.
To find the y-intercept, locate it by using the slope.
It should be between (3,3) and (-6,-3).
(3 - 3 , 3 - 2) = (0,1). The y-intercept is (0,1).
So the equation is y = 2/3x + 1.
