# SOLUTION: Write the equation of the line with slope 4 and y-intercept (0, –5). Then graph the line.

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: Write the equation of the line with slope 4 and y-intercept (0, –5). Then graph the line.      Log On

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 Question 113888: Write the equation of the line with slope 4 and y-intercept (0, –5). Then graph the line.Answer by jim_thompson5910(28598)   (Show Source): You can put this solution on YOUR website!If we have the y-intercept (0, –5), then the line goes through the point (0, –5) If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation: ---Point-Slope Formula--- where is the slope, and is the given point So lets use the Point-Slope Formula to find the equation of the line Plug in , , and (these values are given) Rewrite as Distribute Multiply and to get Subtract 5 from both sides to isolate y Combine like terms and to get ------------------------------------------------------------------------------------------------------------ Answer: So the equation of the line with a slope of which goes through the point (,) is: which is now in form where the slope is and the y-intercept is Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver) Graph of through the point (,) and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.