Question

| 10. Write an equation of a line that is parallel to

Answer 1

Answer:

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 = $\frac{3}{4}$ x + $\frac{5}{4}$ ← in slope- intercept form

with slope m = $\frac{3}{4}$

• Parallel lines have equal slopes, thus

y = $\frac{3}{4}$ x + c ← is the partial equation of the parallel line

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

1 = $\frac{3}{2}$ + c ⇒ c = - $\frac{1}{2}$

y = $\frac{3}{4}$ x - $\frac{1}{2}$ ← equation of parallel line