What is the slope-intercept form of the function described by this table?

y = -4x +2

The slope-intercept form of the equation for a line is conveniently found from the point-slope form. In either case, you need to know the slope. That is ...

... slope = m = (change in y)/(change in x)

For the first two points, the slope is ...

... m = (-6 -(-2))/(2 -1) = -4

Using the point-slope equation for slope m and point (h, k) written as ...

... y = m(x -h) +k

we can substitute m = -4 and (h, k) = (1, -2) to get ...

... y = -4(x -1) -2

... y = -4x +2 . . . . . . . simplify

answer: for each 3 girls there is 2 boys . 3: 2

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