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Equation for the line that passes through (1,-5) and has a slope of 3 (in point-slope form) --------------------------------------------------------------------------
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Mark Z.
1 Expert Answer
Zoe M. answered • 12/18/20
College Student Specializing in Math, Science, and Spanish
To come up with the equation of a line in slope intercept form, we need the slope and the y-intercept.
- The basic form of this equation is: y = mx + b, where m = slope and b = the y-intercept
- First, substitute the given slope in for m. We get the equation y = 3x + b. Now we just need the y-intercept.
- Since we have a point that the line passes through, we can substitute these coordinates into our equation and solve for b. Doing this, we get: -3 = 3(-1) + b.
- Adding 3 to both sides, we get that b = 0. Therefore, the y-intercept is 0, and the overall equation for the line is y = 3x.
Hope this helps!