Which equation represents the line that passes through the points (6, –3) and (–4, –9)?
y+4=3/5(X+9)
y+4=5/3(X+9)
y-3=3/5=3/5(X+6)
y+3=3/5(X-6)
To find the equation of a line passing through two points, we can use the point-slope form of a linear equation.
The slope of the line passing through the points (6, -3) and (-4, -9) can be found using the formula:
m = (y2 - y1)/(x2 - x1)
m = (-9 - (-3))/(-4 - 6)
m = -6/-10
m = 3/5
Using the point-slope form, we can substitute the coordinates of one of the points and the slope into the equation:
y - y1 = m(x - x1)
Using the first point (6, -3):
y - (-3) = (3/5)(x - 6)
After simplifying, we get the equation:
y + 3 = (3/5)(x - 6)
Therefore, the correct equation representing the line passing through the points (6, –3) and (–4, –9) is y + 3 = (3/5)(x - 6).