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Sagot :

Answer:

y = -3x - 1

Step-by-step explanation:

Let he equation of the line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Slope 'm' of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (-2, 5) and (2, -7) will be,

m = [tex]\frac{-7-5}{2+2}[/tex]

m = -3

Equation of the line will be,

y = -3x + b

Since, this line passes through (-2, 5),

5 = -3(-2) + b

5 = 6 + b

b = 5 - 6

b = -1

Therefore, equation of the line will be,

y = -3x - 1

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