Question
What is an equation, in standard form, of a line through (-1,2) with the same slope as the line 3x+y=-2
Answers
Answered by
GPT 3.5
The line 3x+y=-2 can be written in slope-intercept form as y = -3x - 2.
To find the equation of the line with the same slope passing through (-1,2), we can substitute these values into the slope-intercept form.
Using the point-slope form, y - y₁ = m(x - x₁), where (x₁, y₁) = (-1, 2) and m represents the slope.
Substituting the values into the equation, we have:
y - 2 = -3(x - (-1))
y - 2 = -3(x + 1)
y - 2 = -3x - 3
y = -3x - 1
Thus, an equation in standard form of the line through (-1,2) with the same slope as the line 3x+y=-2 is 3x + y = -1.
To find the equation of the line with the same slope passing through (-1,2), we can substitute these values into the slope-intercept form.
Using the point-slope form, y - y₁ = m(x - x₁), where (x₁, y₁) = (-1, 2) and m represents the slope.
Substituting the values into the equation, we have:
y - 2 = -3(x - (-1))
y - 2 = -3(x + 1)
y - 2 = -3x - 3
y = -3x - 1
Thus, an equation in standard form of the line through (-1,2) with the same slope as the line 3x+y=-2 is 3x + y = -1.