What is the equation of the line with slope 1/7 and y-intercept 3/4 and the slope between points (-1, 2) and (9, 7).

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Write the equation of a line with slope `1/7`  and y-intercept of `3/4.`

If using slope-intercept form `(y=mx+b)` , the equation of the line is `y = 1/7x + 3/4`

If the equation is needed in standard form `(ax + by = c)` , the equation is:  `4x - 28y = -21.`

 The solution is: `y = 1/7x + 3/4` or `4x - 28y = -21`

Find the slope between (-1, 2) and (9, 7).

`Slope = "rise"/"run"` or `(Deltay)/(Deltax)`

`(7 - 2)/ (9 - -1)` =  `5/10 = 1/2`

The slope between the 2 points is `1/2.`

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