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 )
y = [tex]\frac{3}{4}[/tex] x - 9 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
• Parallel lines have equal slopes, hence
y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation of the parallel line.
To find c substitute (- 8, - 18) into the partial equation
- 18 = - 6 + c ⇒ c = - 18 + 6 = - 12
y = [tex]\frac{3}{4}[/tex] x - 12 ← equation of parallel line
Answer:
Step-by-step explanation:
The equation of a linear function in point-slope form is y – y1 = m(x – x1)
The point is A (x1 , y1)
the slope is : m the line that is parallel to the given line so : m = 3/4
passes through the given point (-8 -18)
so : x1 = - 8 and y1 = -18
an equation is : y +18= 3/4(x +8)
