Question

Write the equation of the line that passes through (8,2) and (7,6) in slope-intercept form

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Answer 1

hope it helps you......

Answer 2

Slope-intercept form: y = mx + c where m is the slope and c is the y-intercept.

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Find slope:

$\boxed {\text {Slope = }\dfrac{Y_2 - Y_1}{X_2 - X_1} }$

$\text {Slope = }\dfrac{6 - 2}{7-8} = -4$

slope = m = -4

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Substitute m = -4 into the general equation:

Equation: y = -4x + c

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Find y-intercept:

y = -4x + c

at (8, 2),

2 = -4(8) + c

2 = -32 + c

c = 34

y-intercept = c = 34

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Substitute c = 34 into the general equation:

Equation: y = -4x +34

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Answer: Equation: y = -4x +34