Find the equation of the line described, and express your answer in the specified form.
-Parallel to the line 5x - 6y = -3; passes through the point (3, 0); standard form
A)5x - 6y = 15
B)-6x - 5y = -18
C)5x - 6y = -18
D)-6x - 5y = -15

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope. The given line 5x - 6y = -3 can be rewritten in slope-intercept form to find its slope. However, for parallel lines in standard form, we can directly use the coefficients of x and y for the new line because the slope (m) will be the same, which is derived from the equation $m = -\frac{A}{B}$ for a line $Ax + By = C$. Thus, the new line will have the form 5x - 6y = C. To find C, we substitute the point (3, 0) into the equation, resulting in 5(3) - 6(0) = 15. Therefore, the equation of the line is 5x - 6y = 15.

Find the Equation of the Line Described, and Express Your