SOLUTION: m=1/7, p(-1,4) instructions are to find point-slope form and the slope intercept form with the given slope which passes through the given point

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Question 897141: m=1/7, p(-1,4)
instructions are to find point-slope form and the slope intercept form with the given slope which passes through the given point
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
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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