Question 897141
point slope form is y - y1 = m(x-x1)
m is the slope
(x1,y1) is a point on the line.


you are given that m is equal to (1/7) and (x1,y1) is equal to (-1,4)


equation becomes:


y-4 = (1/7)(x+1)


solve for y to get:


y = (1/7)x + 29/7


equation is now in slope intercept form of y = mx + b
m is the slope
b is the y-intercept.


the grpah of your equation is shown below:


in  the graph, 29/7 is shown as 4.143 rounded to 3 decimal placs.


your point of (-1,4) is shown on the graph.


the y-intercept is 29/7 which is shown as 4.143.


the slope is 1/7 which means that y increases 1 unit when x increases 7 units.


you can see that the point (0,4.143) progresses to (7,5.143)


the x-coordinate went up 7 from 0 to 7.
the y-coordinate went up 1 from 4.143 to 5.143.


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