Question
Equation of line in standard form. The slope is 4/7 going through (0,4). Is the answer 4x-7y=28 or 4x-7y=-28
Answers
GPT 3.5
The equation of a line in standard form is typically expressed as Ax + By = C, where A, B, and C are constants.
To determine the equation of the line with a slope of 4/7 passing through the point (0,4), we can use the point-slope form of a line: y - y1 = m(x - x1), where m represents the slope, and (x1, y1) represents the coordinates of the given point.
Substituting the values m = 4/7, x1 = 0, and y1 = 4 into the point-slope equation, we obtain:
y - 4 = (4/7)(x - 0)
y - 4 = (4/7)x
To convert it to standard form, we multiply every term by 7 to eliminate the fraction:
7y - 28 = 4x
Rearranging the terms, we finally obtain:
4x - 7y = 28
Therefore, the correct answer is 4x - 7y = 28.
To determine the equation of the line with a slope of 4/7 passing through the point (0,4), we can use the point-slope form of a line: y - y1 = m(x - x1), where m represents the slope, and (x1, y1) represents the coordinates of the given point.
Substituting the values m = 4/7, x1 = 0, and y1 = 4 into the point-slope equation, we obtain:
y - 4 = (4/7)(x - 0)
y - 4 = (4/7)x
To convert it to standard form, we multiply every term by 7 to eliminate the fraction:
7y - 28 = 4x
Rearranging the terms, we finally obtain:
4x - 7y = 28
Therefore, the correct answer is 4x - 7y = 28.