Question

12)Write an equation for a line in slope-intercept form passes through (3, 3) and (-6,-3).

Answer 1

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.