How do you find slope, point slope, slope intercept, standard form, domain and range of a line for Line G (6,0) (9,6)?

1 Answer
Mar 19, 2017

slope =2

point-slope equation: y-0=2(x-6)

slope-intercept equation: y=2x-12

standard form equation: y-2x=-12

domain: (-oo, oo)

range: (-oo, oo)

Explanation:

The slope, m, is:

m= (y_2 - y_1)/(x_2 - x_1) = (6-0)/(9-6)

This is the change in y between the two points over the change in x between the two points.

Once you have found the slope, pick one of the points and plug it into the point-slope formula:

y-y_1=m(x-x_1)

where y_1 is the y-coordinate of one of the points and x_1 is the x-coordinate of the same point and m is the slope. In this case, it is:

y-0=2(x-6)

To find the slope intercept form, just solve for y, but in this case, since I picked the point with a y of 0 and y-0=y, that is already done so the slope-intercept form is:

y=2x-12

The standard form formula is

ax+by=c

This can be found by just subtracting 2x from both sides of the slope-intercept equation to get:

y-2x=-12

Lastly, the domain and range of any straight line are negative infinity to positive infinity.

Hope I helped out!