Answer:
Absolutely, we can find the equation of the line in point-slope form that passes through the points (4,−1) and (−3,4)!
The point-slope form for the equation of a line is:
y - y₁ = m(x - x₁)
where:
m is the slope of the line
(x₁, y₁) is a point on the line
We can find the slope (m) using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where:
(x₁, y₁) is the first point
(x₂, y₂) is the second point
Plugging in the points (4,−1) and (−3,4):
m = (4 - (-1)) / (-3 - 4)
m = 5 / (-7)
m = -5/7
Now that we know the slope, we can use one of the points and the slope to complete the point-slope form equation. Let's use the point (4,−1) :
y - (-1) = -5/7(x - 4)
Therefore, the equation in point-slope form for the line that passes through the points (4,−1) and (−3,4) is:
y + 1 = -5/7(x - 4)
Step-by-step explanation:
Answer:
y + 1 = -5/7(x - 4)
Step-by-step explanation:
In this problem we are going to write an equation for a line with the following givens:
---> the line passes through the points (4,-1) and (-3,4)
The final answer should be in point-slope form (y - y₁ = m(x - x₁).
First we'll find m:
m = (y₂ - y₁)/(x₂ - x₁)
Substitute the values:
m = 4 - (-1) / -3 - 4
m = 4 + 1 / -7
m = 5/-7
Now plug the first point (4,-1) and the slope (m = - 5/7) into the point-slope formula:
y - (-1) = -5/7(x - 4)
Simplify:
y + 1 = -5/7(x - 4)
