Write the equation in standard form with slope of 4/7 going through (0,4)
To find the equation in standard form with a slope of 4/7 and going through the point (0,4), we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.
Substituting the values m = 4/7, x₁ = 0, and y₁ = 4 into the equation, we get:
y - 4 = (4/7)(x - 0)
Simplifying the equation:
y - 4 = (4/7)x
To convert the equation to standard form, we need to eliminate the fraction. We can do this by multiplying both sides of the equation by the denominator (7) to get rid of it:
7(y - 4) = 4x
Expanding the equation:
7y - 28 = 4x
Finally, rearranging the equation to match the standard form Ax + By = C:
4x - 7y = -28
So, the equation in standard form is 4x - 7y = -28.