2 years ago

What ia an equation of the line that is parallel to y=3x-8 and passes through the point (4,-5)?

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

4 0

Answer:

y = 3x - 17

========================

<h3>Given line</h3>

y = 3x - 8

Parallel lines have equal slopes, so its equation is in the form of:

y = 3x + b

Since it passes through the points (4 , - 5), find the value of the y-intercept b by substituting x- and y- coordinates into this equation:

- 5 = 3*4 + b
- 5 = 12 + b
b = -5 - 12
b = - 17

The equation of the parallel line is:

y = 3x - 17

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