Which equation represents the line whose slope is -2 and that passes through point (0, 3)?

1 Answer
Jan 3, 2017

Answer:

Use the point-slope formula to solve this problem. See the full explanation below:

Explanation:

Because we are five the slope of the line and a point on the line we can use the point slope formula to complete this problem:

The point-slope formula states: #(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))#

Where #color(blue)(m)# is the slope and #color(red)(((x_1, y_1)))# is a point the line passes through.

Substituting the slope and the point we were provided gives this equation to solve the problem:

#(y - color(red)(3)) = color(blue)(-2)(x - color(red)(0))#

#y - color(red)(3) = color(blue)(-2)x#

If we want to put this formula in the more familiar slope-intercept form we can solve for #0# as follows:

#y - color(red)(3) + 3 = color(blue)(-2)x + 3#

#y - 0 = -2x + 3#

#y = -2x + 3#