The point-slope form of the equation of a line is:
y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
To find the equation of the line, we need to find the slope (m) and any point (x1, y1) on the line. Let's calculate the slope using the given points:
Point 1: (-6, -10)
Point 2: (-4, -9)
m = (y2 - y1) / (x2 - x1)
m = (-9 - (-10)) / (-4 - (-6))
m = (-9 + 10) / (-4 + 6)
m = 1 / 2
Now that we have the slope, let's find the equation of the line using one of the given points. Let's use Point 1: (-6, -10).
y - (-10) = 1/2(x - (-6))
y + 10 = 1/2(x + 6)
y + 10 = 1/2x + 3
y = 1/2x - 7
So, the equation of the line in point-slope form is y = 1/2x - 7.
Now let's check which other points satisfy this equation:
Point 3: (6, -4)
-4 = 1/2(6) - 7
-4 = 3 - 7
-4 = -4
The equation y = 1/2x - 7 is satisfied by Point 3 (6, -4).
Therefore, the three equations in point-slope form that represent this line are:
1. y = 1/2x - 7
2. y + 10 = 1/2(x + 6)
3. -4 = 1/2(6) - 7
Which equations in point-slope form represent this line?
Select three that apply.
X Y
-6 -10
-4 -9
6 -4
1 answer