SOLUTION: Given the points (3,1) and (6, 4) Draw this line on a graph What is the slope of this line?

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Question 1130017: Given the points (3,1) and (6, 4)
Draw this line on a graph
What is the slope of this line?
Found 2 solutions by MathLover1, math_helper:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given the points (3,1) and (6,+4)

m=%28y-y%5B1%5D%29%2F%28x-x%5B1%5D%29......use the points (3, 1) and (6,4)

m=%284-1%29%2F%286-3%29

m=3%2F3
m=1

the equation for this line in point – slope format:
y-y%5B1%5D=m%28x-x%5B1%5D%29......use m=1 and the point (3,1)

y-1=1%28x-3%29
y-1=x-3
y=x-3%2B1
y=x-2





Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Slope is defined as (change in y) / (change in x), often denoted by the letter m.

m = (4-1) / (6-3) = 3 / 3 = 1

We can write y-y0 = m(x-x0) <—<<< point-slope form of a line, (x0,y0) is ANY point on the line
y - 4 = 1*(x - 6)
y = x - 2 <—<<< equation of the line in slope-intercept form