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Can you help me please??


Can You Help Me Please class=

Sagot :

Answer:

y = [tex]\frac{4}{5}x+\frac{54}{5}[/tex]

Step-by-step explanation:

Equation of a line has been given as,

[tex]y=\frac{4}{5}x+\frac{3}{5}[/tex]

Here, slope of the line = [tex]\frac{4}{5}[/tex]

y-intercept = [tex]\frac{3}{5}[/tex]

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = [tex]\frac{4}{5}[/tex]

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y = [tex]\frac{4}{5}x+b[/tex]

Since, this line passes through a point (-6, 6),

6 = [tex]\frac{4}{5}(-6)+b[/tex]

6 = [tex]-\frac{24}{5}+b[/tex]

b = [tex]6+\frac{24}{5}[/tex]

b = [tex]\frac{30+24}{5}[/tex]

b = [tex]\frac{54}{5}[/tex]

Equation of the parallel line will be,

y = [tex]\frac{4}{5}x+\frac{54}{5}[/tex]