Question
Given the coordinates (1, 5) and (4, 11).
Fill in the blanks to write the equation of the line in point-slope form.
y−
=
(x−
)
Fill in the blanks to write the equation of the line in point-slope form.
y−
=
(x−
)
Answers
GPT 3.5
The formula for the point-slope form of a line is:
y - y₁ = m(x - x₁)
Given the coordinates (1, 5) and (4, 11), we can substitute the values into the formula.
Taking (1, 5) as (x₁, y₁), we have:
y - 5 = m(x - 1)
Now, let's find the value of the slope (m). The slope (m) is given by the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Plugging in the values (1, 5) and (4, 11):
m = (11 - 5) / (4 - 1)
m = 6 / 3
m = 2
Now that we have the slope value, we can use it in the point-slope form equation:
y - 5 = 2(x - 1)
Therefore, the equation of the line in point-slope form is:
y - 5 = 2(x - 1)
y - y₁ = m(x - x₁)
Given the coordinates (1, 5) and (4, 11), we can substitute the values into the formula.
Taking (1, 5) as (x₁, y₁), we have:
y - 5 = m(x - 1)
Now, let's find the value of the slope (m). The slope (m) is given by the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Plugging in the values (1, 5) and (4, 11):
m = (11 - 5) / (4 - 1)
m = 6 / 3
m = 2
Now that we have the slope value, we can use it in the point-slope form equation:
y - 5 = 2(x - 1)
Therefore, the equation of the line in point-slope form is:
y - 5 = 2(x - 1)