To find the slope of the line that passes through the points (3,6) and (1,-2)... use the formula
(y2-y1) /(x2-x1). Then the slope of the line that passes through these points is (-2-6)/(1-3) = 4
If the other line is parallel, then the slope is the same ... it is 4.
If you want to find the equation of the line that passes through the point (-1,1) use the formula
y-y1 = m(x-x1) ... where m is the slope.
Then it is y -1 = 4(x+1) OK! We can write it in other form... y = 4x +5 .... here the slope is 4 and it passes through (-1,1) ... to verify just put x= -1 and find y = 1. OK!
If a line is parallel to a various line, the two lines would desire to have the right comparable slope, in the different case they does no longer be parallel. in spite of in case you have 500 parallel lines, their slopes will all be precisely a similar. there is no formulation to apply to locate the slope of "the different line parallel to any distinctive line," you are able to purely locate the slope of the unique line and then use deductive reasoning to deduce the slope of the 2nd line.
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Verified answer
the slope of the line that passes through (3,6) and(1,-2) is:
m=y2-y1/x2-x1
m= -2-6 / 1-3 => m=4
parallel lines have the same slope , thus the slope of the line that passes through (-1,1) and is parallel to the other line is just 4.
answer: the slope is 4.
If you also want the line then:
equation of a line with slope m is:
y-y1=m(x-x1)
y-1=4(x+1)
y= 4x+5
To find the slope of the line that passes through the points (3,6) and (1,-2)... use the formula
(y2-y1) /(x2-x1). Then the slope of the line that passes through these points is (-2-6)/(1-3) = 4
If the other line is parallel, then the slope is the same ... it is 4.
If you want to find the equation of the line that passes through the point (-1,1) use the formula
y-y1 = m(x-x1) ... where m is the slope.
Then it is y -1 = 4(x+1) OK! We can write it in other form... y = 4x +5 .... here the slope is 4 and it passes through (-1,1) ... to verify just put x= -1 and find y = 1. OK!
Slope of given line = (6 - (-2))/(3 - 1) = 8/2 = 4
The slope of *any* line parallel to that line is also 4, no matter what point it goes through.
Slope of the line passing through points is (x₁,y₁) and (x₂,y₂) , m=(y₂ −y₁)/(x₂ −x₁)
Hence Slope of the line passing through points = (3, 6) and (−2−6)/(1−3) =4
Hence slope of the required line = 4
and the equation is
y= 4x+C It passes through (−1, 1)
→1=4(−1) +C i.e C=5
and the line is y= 4x+5
If a line is parallel to a various line, the two lines would desire to have the right comparable slope, in the different case they does no longer be parallel. in spite of in case you have 500 parallel lines, their slopes will all be precisely a similar. there is no formulation to apply to locate the slope of "the different line parallel to any distinctive line," you are able to purely locate the slope of the unique line and then use deductive reasoning to deduce the slope of the 2nd line.
Slope = (6 - (-2))/(3 - 1) = 8/2 = 4