Question 200358: HI everyone, Im trying to finish the following problems but I am struggling a bit. I have to show full working and comment on the outcomes. I dont expect answers to all 3, but if someone can show me one of each type that would be super.
Question 1. Find the equation of the line that passes through the point (-2,5) and parallel to the y axis.
Question 2. Find the equation of the line passing through (1,3) and parallel to the line y = 3/2 x - 1/2.
Question 3. A line with the gradient passes through the point (1,3). Find the equation of the line.
Thanks for your help. -Nick.
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Question 1. Find the equation of the line that passes through the point (-2,5) and parallel to the y axis.
x = -2
.
Question 2. Find the equation of the line passing through (1,3) and parallel to the line y = 3/2 x - 1/2.
If a two lines are parallel, the slopes are the same.
Our line has a slope of 3/2 crossing (1,3)
plug into point-slope form
y-y1 = m(x-x1)
y-3 = (3/2)(x-1)
y-3 = (3/2)x - 3/2
y = (3/2)x - 3/2 + 3
y = (3/2)x - 3/2 + 6/2
y = (3/2)x + 3/2
.
Question 3. A line with the gradient 2 passes through the point (1,3). Find the equation of the line.
Gradient is equivalent to the slope
So m = 2 and it crosses (1,3)
plug into point-slope form
y-y1 = m(x-x1)
y-3 = 2(x-1)
y-3 = 2x-2
y = 2x + 1
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