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