|10. write an equation of a line that is parallel to
the line-3x + 4y = 5 and passes through the
point (2.1)

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 3x + 4y = 5 into this form

Add 3x to both sides

4y = 3x + 5 ( divide all terms by 4 )

y = x + ← in slope- intercept form

with slope m =

• Parallel lines have equal slopes, thus

y = x + c ← is the partial equation of the parallel line

To find c substitute (2. 1) into the partial equation

1 = + c ⇒ c = -

y = x - ← equation of parallel line

16 is the absolute value

step-by-step explanation: