The line equation in slope-intercept form is *y* = *m**x* + *b*, where *m* is the slope and *b* is the *y*-intercept.

Write the two functions as co-ordinates.

First find the slope

(Substitute )

(Product of two same signs is positive)

(Subtract: )

(Add: 2 + 1 = 3)

* *(Divide: )

Next find the *y*-intercept

Substitute the slope and the coordinates of the given point in slope-intercept form equation.

*y* = *mx* + *b*

15 = –2(–2) + *b* * *(Substitute – 2 for *m*, – 2 for *x*, and 15 for *y)*

15 = 4 + *b *(Multiply: )

15 – 4 = 4 – 4 + *b* (Subtract 4 from each side)

15 – 4 = *b *(Apply additive inverse property: 4 – 4= 0)

*b* = 11 (Subtract: 15 – 4 = 11)

Finally write the line equation

Substitute the values of slope ‘*m*’ and *y*-intercept ‘*b*’ in slope intercept form line equation.

*y* = *mx* + *b*

*y* = –2(*x*) + 11 (Substitute –2 for *m *and 11 for *b*)

*y* = –2*x* + 11 (Simplify)

The function is *y* = –2*x* + 11.

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