What is the equation of the line –3x–2y=30 in slope-intercept form?
Answer
y = (-3/2)x - 15
Explanation
The general linear equal in slope intercept form is y = mx + c.
Where m is the slope and c is the y-intercept.
–3x–2y=30 in slope-intercept form
–3x–2y=30
-2y = 3x + 30
y = (-3/2)x - 15
Answer:
\(y = \frac{-3}{2}x - 15\)
Step-by-step explanation:
We are given the following information in the question:
We are given equation of line:
\(-3x-2y = 30\)
The slope intercept form of a straight line is given by:
\(y = mx +c\)
where m is the slope of the line and c is the y intercept of the line.
Considering the given equation of the line:
\(-3x-2y = 30\\-2y = 3x + 30\\y = \displaystyle\frac{3x + 30}{-2}\\\\y = \frac{-3}{2}x - 15\)
is the required form of line.
where the slope of the given line is m = \(\frac{-3}{2}\) and y-intercept is c = -15