SOLUTION: Problem For the points ( [3] , [6] ) and (1, [7] ), find a) the distance between the points, b) and the equation of the line passing through them. Round all numbers to 1

Question 940121: Problem
For the points ( [3] , [6] ) and (1, [7] ), find
a) the distance between the points,
b) and the equation of the line passing through them.
Round all numbers to 1 decimal place and write your answer in slope-intercept form (y = mx + b).
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:
the points ( , ) and (, ),
find:
a) the distance between the points,

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

so, distance is

b) and the equation of the line passing through them.

Solved by pluggable solver: FIND EQUATION of straight line given 2 points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (3, 6) and (x2, y2) = (1, 7).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-0.5)x + (7.5)

Your graph:

in slope-intercept form ():

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