Bill L. answered • 01/30/13
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I presume they are asking you to derive the equation of the line that has:
slope of 6 and a y intercept of -3
Method 1:
"Slope-intercept" of a line:
y = mx + b
where m is the slope and b is the y-intercept
plug in the given data and you're done:
y = 6x + (-3)
y = 6x - 3 (answer in "slope-intercept" form)
Method 2:
since the y-intercept is -3, it basically gives us one point (0, -3) on the line.
Plug the above point, and the slope into the "point-slope" form:
y - y1 = m(x - x1)
y - (-3) = 6(x - 0)
y + 3 = 6(x)
y = 6x -3 (this is what they're looking for in "slope-intercept" form)
