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Write an equation for a line that is parallel to y=-8x+5 and contains the points (1,-2).

1 Answer

3 votes

Answer:

y = - 8x + 6

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 8x + 5 ← is in slope- intercept form

with slope m = - 8

Parallel lines have equal slopes, thus

y = - 8x + c ← is the partial equation of the parallel line

To find c substitute (1, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = - 8x + 6 ← equation of parallel line

User Nelson Sequiera
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