What equation in slope-intercept form represents the line that passes through the points (1,3) and (2,5)?

So, equation in slope-intercept form that represents the line that passes through  the points (1,3) and (2,5) is y=2x+1

Step-by-step explanation:

We need to write equation in slope intercept form that represents the line that passes through  the points (1,3) and (2,5)

The standard equation of slope-intercept form is: y= mx+b

where m is the slope of the lines and b is the y-intercept.

To make the equation we need to find slope (m) and y-intercept (b)

Find Slope

The formula to find slope m is:

We have

Putting values in the formula to find slope

So, value of slope m is m=2

Find y-intercept

Using formula of slope-intercept formula we can find b

y=mx+b

Using point (1,3) (where x=1 ,y=3) and slope m=2

So, value of y-intercept b is: b=1

Required equation in Slope Intercept Form

We have slope m = 2 and y-intercept b=1

So, equation in slope-intercept form that represents the line that passes through  the points (1,3) and (2,5) is y=2x+1

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