Question

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

Answer 1

• y = 3x - 17

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Given line

• 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