Mathematics
Raomilozano
13

a line passes through (3, –2) and (6, 2). a. write an equation for the line in point-slope form. b. rewrite the equation in standard form using integers. a. y minus 2 equals four thirds times the quantity x minus 3 end of quantity; negative 4 x plus 3 y equals 18. b. y plus 2 equals four thirds times the quantity x plus 3 end of quantity; negative 4 x plus 3 y equals negative eighteen. c. y minus 3 equals four thirds times the quantity x plus 2 end of quantity; negative 4 x plus 3 y equals 17. d. y plus 2 equals four thirds times the quantity x minus 3 end of quantity; negative 4 x plus 3 y equals negative eighteen.

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(1) Answers
andrades

[latex] \frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1} \\ \frac{y-(-2)}{x-3} = \frac{2-(-2)}{6-3} \\ \frac{y+2}{x-3} = \frac{2+2}{6-3} \\ \frac{y+2}{x-3} = \frac{4}{3} \\ y+2= \frac{4}{3} (x-3)[/latex] In standard form [latex]y+2= \frac{4}{3} (x-3) \\ 3(y+2)=4(x-3) \\ 3y+6=4x-12 \\ -4x+3y=-18[/latex]

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