Line v has an equation of y=\frac{-9}{5}x-8. Line w, which is pa

Monincbh

Monincbh

Answered question

2021-11-15

Line v has an equation of y=95x8. Line w, which is parallel to line v, includes the point (2,-3). What is the equation of line w?
Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answer & Explanation

Coon2000

Coon2000

Beginner2021-11-16Added 15 answers

Step 1
The given line equation is
y=95x8
The slope intercept form of a linear equation is:
y=mx+b
where
m- is the slope
b- is the y-intercept value. Comparing the given equation with the slope intercept form, we get:
m=95
Step 2
The parallel line equations has the same slope. So, using the same slope, the parallel equation with the point (2, -3) is:
(x1,y1)=(2,3)
yy1=m(xx1)
y(3)=95(x2)
y+3=95(x2)
y=95x+2953
y=95x+35
The parallel equation W is y=95x+35.

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