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y = 4x + 5

Step-by-step explanation:

The equation of a straight line line is;

y = mx + b

where m is the slope and b is the y-intercept

We start by calculating the slope value by using the slope equation

m = (y2-y1)/(x2-x1)

m = (9+ 7)/(1+ 3) = 16/4 = 4

So we have the equation as;

y = 4x + b

to get the value of b, we substitute the coordinates of any of the two points

let us use (1,9)

9 = 4(1) + b

b = 9-4

b = 5

so, we have the equation of the line as;

y = 4x + 5

36

step-by-step explanation:

answer: '

the distance between points l and m

step-by-step explanation: