Question

What is the equation of the line that is parallel to the line 12x + 15y = 10 and passes through the point (5, −2)

Answer 1

Answer:

The slope of the given line and a line parallel to it is 5/2.

Step-by-step explanation:

Explanation:

Given:

5

x

−

2

y

=

11

is the standard form of a linear equation.

A line parallel to this line has the same slope. To determine the slope, solve for

y

to change the equation to slope-intercept form:

y=mx+b, where: m is the slope and b is they intercept.5x−2y=11      

Subtract 5x from both sides. −2y=−5x+11

Divide both sides by −2. y=−5/−2x+11/2

Simplify. y=5/2 x −11/2

The slope of the given line and a line parallel to it is 5/2.

.