Question

Graph each of the following lines without using a table of values a. y = 2⁄3x - 5 b. 6x - 2y + 5 = 0

Answer 1

$\text{Graph the lines:}\\\\a. \,\,y = 2/3x - 5\\\\\text{For this equation, we are given our beginning point and slope}\\\\\text{The beginning point is -5, so you would put a point at -5 on the y-axis}\\\\\text{Since the slope is 2/3, we would use the rise/run method}\\\\\text{In this case, starting from -5 on the y-axis, you would go up 2 and to the}\\\text{right 3, then place your point where you ended up.}\\\\\text{Keep using the rise/run method to create the rest of the points}$

$b.\,\, 6x - 2y + 5 = 0\\\\\text{Turn the equation into slope form:}\\\\ 6x - 2y + 5 = 0\\\\-2y=-6x-5\\\\y=3x+5/2\\\\\text{The beginning point is at 5/2, or 2.5}\\\\\text{Place the point at 2.5 on the y-axis}$

$\text{We know the slope is 3, so use the rise/run method. In this case, you}\\\text{will go up 3 and 1. Continue this process}$

$\text{I hope this helps, have a good day.}$