Question

Type the equation of the linear function that passes through the two given points:

Answer 1

Answer:

Slope-intercept form of the line:

• y = mx + b

Point-slope form of the line:

• y - y1 = m(x - x1)

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Points:

• (2;9) (4,17)

The slope:

• m = (17 - 9)/(4 - 2) = 4

The line:

• y - 9 = 4(x - 2)
• y = 4x - 8 + 9
• y = 4x + 1

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Points:

• (3; -17) (-3;13 )

The slope:

• m = (13 - (-17)) / (-3 - 3) = 4/ -6 = -2/3

The line:

• y - (-17) = -2/3(x - 3)
• y = -2/3x + 2 - 17
• y = -2/3x - 15