Use the given conditions to write an equation for the line in point-slope form.
Passing through (-5, -7) and (-8, -6)
the slope is:
(-6 - -7) / (-8 - -5)
= 1/-3
= -1/3
the slope is also
(y - -7) / (x - -5) = (y+7)/(x+5)
so
(y+7) = (x+5)(-1/3)
Thanks!!! :)
You are welcome.
To write an equation for the line in point-slope form, we need to start by finding the slope of the line using the given points.
The formula to find the slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is:
slope (m) = (y₂ - y₁) / (x₂ - x₁)
Let's substitute the coordinates of the given points into the formula:
m = (-6 - (-7)) / (-8 - (-5))
= (-6 + 7) / (-8 + 5)
= 1 / (-3)
= -1/3
Now that we have the slope (m = -1/3), we can use the point-slope form of a line, which is:
y - y₁ = m(x - x₁)
Choose one of the given points (x₁, y₁) to substitute into the equation. Let's use the point (-5, -7):
y - (-7) = -1/3(x - (-5))
Simplifying:
y + 7 = -1/3(x + 5)
This is the equation of the line passing through the given points in point-slope form.