How do you write the equation of a line which passes through (0, 5) and has a slope of 52/3?

1 Answer
smendyka
Feb 3, 2017

#y = color(red)(52/3)x + color(blue)(5)#

Explanation:

Because the line passes through (0, 5) this is the y-intercept. And because we also know the slope we can use the slope-intercept formula to directly write the equation for this line.

The slope-intercept form of a linear equation is:

#y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

Substituting the values from the problem gives:

#y = color(red)(52/3)x + color(blue)(5)#

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