What is the equation of a line through the points (0, 9) and (3, 0)?
because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9
because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 3
because m = StartFraction 3 minus 0 Over 0 minus 9 EndFraction; y = negative one-third x + 9
because m = StartFraction 3 minus 0 Over 0 minus 9 EndFraction; y = negative one-third x + 3
The correct equation of the line is:
y = -3x + 9
The equation of a line through the points (0, 9) and (3, 0) can be determined by calculating the slope (m) using the formula m = (y2 - y1) / (x2 - x1). Let's calculate it:
m = (0 - 9) / (3 - 0)
m = -9 / 3
m = -3
So the slope of the line is -3.
To find the equation, we can use the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is one of the given points. We can choose (0, 9) as (x1, y1) for convenience:
y - 9 = -3(x - 0)
y - 9 = -3x
y = -3x + 9
Therefore, the correct equation for the line through the points (0, 9) and (3, 0) is y = -3x + 9.