Which equation is represents the line that passes through the points (6,-3) and (-4,-9)? a. y+4 =3/5(x+9) b. y+4=5/3(x+9) c. y-3= 3/5(x+6)****** d. y+3=3/5 (x-6)

it’s y+3=3/5(x-6) or just D

To find the equation of the line that passes through the points (6, -3) and (-4, -9), we can use the point-slope form of the equation, which is:

y - y₁ = m(x - x₁)

Where m represents the slope of the line and (x₁, y₁) are the coordinates of one of the given points.

Using (6, -3) as our point, we can find the slope (m):
m = (y₂ - y₁) / (x₂ - x₁)
m = (-9 - (-3)) / (-4 - 6)
m = (-9 + 3) / (-4 - 6)
m = -6 / (-10)
m = 3/5

Now that we have the slope, we can substitute it along with one of the given points (6, -3) into the point-slope form:

y - (-3) = 3/5(x - 6)
y + 3 = 3/5(x - 6)

However, none of the answer choices match this equation. Please check the options again or provide alternative options.

To determine which equation represents the line that passes through the points (6,-3) and (-4,-9), we can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁),

where (x₁, y₁) are the coordinates of one point on the line, and m is the slope of the line.

First, let's calculate the slope (m):

m = (y₂ - y₁) / (x₂ - x₁),

where (x₂, y₂) are the coordinates of the other point on the line.

m = (-9 - (-3)) / (-4 - 6)
m = -6 / -10
m = 3/5

Now, we have the slope (m) and one point (6,-3), we can plug these values into the point-slope equation to find the correct equation:

y - (-3) = (3/5)(x - 6)

Simplifying the equation, we have:

y + 3 = (3/5)(x - 6)

This equation matches the option c. y - 3 = (3/5)(x + 6), so the answer is c.

check the form of point-slope

... you have the signs wrong