Respuesta :

y + 11 = –2(x + 1.5)

y=mx+b

multiply the bracket by -2

(-2)(x)=-2x

(-2)(1.5)=-3

y+11=-2x-3

move +11 to the other side

sign changes from +11 to -11

y+11-11=-2x-3-11

y=-2x-14

m is also the slope

b= y-intercept

Answer:

y-intercept=-14

The y intercept of the line is (0, -14)

Given the equation y + 11 = -2(x + 1.5)

The y-intercept of the line is the point where x = 0

Substituting x = 0 into the expression:

y + 11 = -2(0 + 1.5)

y + 11 = -2(1.5)

y + 11 = -3.0

y = -3 - 11

y = -14

Hence the y intercept of the line is (0, -14)

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