Write the equation of a line in slope-intercept form that is parallel to the line and containing point (-5,?

Question

Write the equation of a line y=2/5x+4 in slope-intercept form that is parallel to the line and containing point (-5, 0). Show all your work for credit

Answer 1

slope of y=(2/5)x+4 is 2/5

The parallel line will have the same slope, so m=2/5.

Use point (-5,0) to determine the y-intercept:

b = y - mx

= 0 - (2/5)(-5)

= 1

Equation of parallel line

y  = (2/5)x + 1

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