2 Answers

JD White · Answer 1 · 2020-12-22T17:28:25+0000

The point-slope form:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

The formula of a slope:

m=(y_2-y_1)/(x_2-x_1)

We have the points (3, 95) and (11, 12). Substitute:

m=(12-95)/(11-3)=-(83)/(8)

$\boxed{y-95=-(83)/(8)(x-3)}$ point-slope form

Convert to the slope-ntercept form (y = mx + b)

y-95=-(83)/(8)(x-3) use the distributivie property

y-95=-(83)/(8)x+(249)/(8) add 95 to both sides

$y=-(83)/(8)x+(249)/(8)+95\\\\y=-(83)/(8)x+(249)/(8)+(760)/(8)$

$\boxed{y=-(83)/(8)x+(1009)/(8)}$ slope-intercept form

Convert to the standrd form (Ax + By = C)

y=-(83)/(8)x+(1009)/(8) multiply both sides by 8

8y=-83x+1009 add 83x to both sides

$\boxed{83x+8y=1009}$ standard form

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