Question

What is the equation of a line through the points (0, 9) and (3, 0)?

Answer 1

Answer:

  m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

The given points are the y-intercept and the x-intercept, so they can be used directly in the intercept form of the equation of a line.

  x/(x-intercept) +y/(y-intercept) = 1

  x/3 +y/9 = 1

Multiplying by 9 gives ...

  3x +y = 9

This can be rearranged to the slope-intercept form ...

  y = -3x +9

_____

The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.

Answer 2

Answer:

because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation: