Can someone show me how to do question #29? explain steps

Y=−3x
 
Choose a point that the parallel line will pass through.(0,0)(0,0)Use the slope-intercept form to find the slope.Tap for more steps...m=−3m=-3To find an equation that is parallel to y=−3x+5y=-3x+5, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.(0,0)(0,0)m=−3m=-3Find the value of bb using the formula for the equation of a line.Tap for more steps...b=0b=0Now that the values of mm (slope) and bb (y-intercept) are known, substitute them into y=mx+by=mx+b to find the equation of the line.y=−3x

Okay, let's start with making it into y=mx+b (it's easier)
so right now it's 3x-y= -5
so we move 3x to the other side, which will make it -y=-3x-5.
The y cannot be negative, so we move the x as one to the other side, which will change the signs. Now it's y=3x-5.
Well, we know parallel means that it just has a different y-intercept. So, what I would always do (my best bet TBH, but someone knows a quicker way to figure it out, help us), is to find the y-intercept with the degree (-1,0)
the y-intercept means that that the x is at 0° and it touches line y. so, if we go up 3 and right once (positive slope), it would make the y-intercept 3, meaning the parallel line is y=3x+3.

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