Question 1137286

The equation of the line which is perpendicular to 3y=2x-6, and passes through the point (4,7)
<pre>3y = 2x - 6
2x - 3y = 6 ------ Converting to STANDARD FORM of a linear function
If in the above form, Ax - By = C, KEEP A the same, NEGATE B and then switch coefficients to get left side of equation. This gives us: 3x + 2y = C
Now, C is calculated based on the given point and the left side of the equation.
This results in: {{{highlight_green(matrix(1,7, 3x + 2y, "=", 3(4) + 2(7), "=====>", 3x + 2y, "=", 26))}}}
That's IT!!