Can someone please explain how to write an equation in slope-intercept form for one of these graphs?  Thanks!

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The image is very small and none of the graphs are clear. But the graph in the middle on the top row is one that shows a line with equation y = x.

This line has a slope of 1 and as it passes through the origin, the intercept is 0.

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aruv | High School Teacher | (Level 2) Valedictorian

Posted on

I try to explain the slope intercept form for Q.1 in graph . (Sorry I unable to find a good quality image from attachment ,if you unable to understand again I shall explain )

Line posses through (-4,0) and (0,3)

On looking graph immediately you can conclude x-intercept is -4 and y-intercept is 3

calculate slope of the line from the points

`m=(3-0)/(0-(-4))`

`=3/4`

Line posses through (0,3) ( you can choose another point also)

`y-3=(3/4)(x-0)`

`y-3=(3/4)x`

`y=(3/4)x+3`

which is similar to

y=mx+c

c = y-intercept

m=slope of the line with positive x-axis.

It just simple.

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