How do you write an equation of a line with a slope of 3 and passes through the point (0,-3)?

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Answer 1 · 2017-01-28T14:40:41

#y = color(red)(3)x - color(blue)(3)#

We can use the slope-intercept formula to write this equation.

The slope is given in the problem as #color(red)(3)#

The point (0, -3) is the y-intercept by definition at #color(blue)(-3)#

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)(3)x + color(blue)(-3)#

#y = color(red)(3)x - color(blue)(3)#