Question

write an equation in slope intercept form of the line that passes through the points (-3,6) and (0,0)

Answer 1

The equation of the line passing through (-3,6) and (0,0) in slope-intercept form is y = -2x, with a slope of -2 and a y-intercept of 0.

Step-by-step explanation:

To find the equation of the line in slope-intercept form that passes through the points (-3,6) and (0,0), we first need to calculate the slope (m) of the line using these points. The slope is given by the change in y divided by the change in x, which is (6 - 0) / (-3 - 0) = 6 / -3 = -2. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since the line passes through (0,0), the y-intercept (b) is 0. Therefore, the equation of the line is y = -2x.

Answer 2

y=-2x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-6)/(0-(-3))

m=-6/(0+3)

m=-6/3

m=-2

y-y1=m(x-x1)

y-6=-2(x-(-3))

y-6=-2(x+3)

y=-2x-6+6

y=-2x

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.