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Mathematics 6 Online
OpenStudy (anonymous):

y = -5x + 5 y = -1/5 x + 5 y = 1/5x + 5 y = 5x + 5

OpenStudy (anonymous):

OpenStudy (whpalmer4):

Okay, the slope is negative, because when you move 1 unit to the right on the x-axis, the y-value drops 5. If the y-value drops as x-increases, you've got a negative slope. The value of the slope is the change in y divided by the change in x. Here we've got a change of -5 in y divided by a change of 1 in x, so the slope is -5. Slope-intercept form for a line is y = mx + b where m is the slope and b is the y-intercept (the value of y when x = 0). Which of those equations fits what we know?

OpenStudy (anonymous):

y = -5x + 5

OpenStudy (anonymous):

A?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

Will you explain?

OpenStudy (whpalmer4):

I thought I already did :-) We found the slope to be -5 by looking at the graph and observing that when we went from x = 0 to x = 1, the the value of y went from y = 5 to y = 0, a change of -5 in a distance of 1, -5/1 = -5. The y-intercept is 5, because at x = 0, y = 5. All we need to do is plug those into y = mx + b, giving us y = -5x + 5 as the equation of the line shown.

OpenStudy (anonymous):

Ok now I see, Thank you :)

OpenStudy (whpalmer4):

Are you sure? I'm happy to try explaining it a different way, if you aren't convinced you understand what I did.

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