Peter R. answered • 08/09/22

Experienced Instructor in Prealgebra, Algebra I and II, SAT/ACT Math.

y = mx + b

We know a value for everything but b.

-4 = 8(0) + b

so b = -4

**y = 8x - 4**

This is a solution to a slope-intercept word problem that can look scary at first.

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Peter R. answered • 08/09/22

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Experienced Instructor in Prealgebra, Algebra I and II, SAT/ACT Math.

y = mx + b

We know a value for everything but b.

-4 = 8(0) + b

so b = -4

**y = 8x - 4**

8 = (y- -4)/(x -0) = slope = the difference in y value divided by the corresponding difference in x values

8=(y+4)/x

multiply both sides by x

y+4 = 8x

y = 8x -4 is the equation in slope intercept form, slope = 8, intercept =-4

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