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Write an equation in point-slope form for the line through the given point with the given slope (9,-1); m =4/3 A . Y-1=4/3(x-9)B. Y-9=4/3(x+1) C. Y+1=4/3(x-9)D. Y-1=4/3(x+9

Write An Equation In Pointslope Form For The Line Through The Given Point With The Given Slope 91 M 43 A Y143x9B Y943x1 C Y143x9D Y143x9 class=

Answer :

Step 1: List the given data

[tex]\begin{gathered} m\text{ = }\frac{4}{3} \\ \text{Coordinates (x}_{1\text{ , }}y_1)\text{ = ( 9, -1 )} \end{gathered}[/tex]

Step 2: Write the equation of a line formula in a point-slope form

[tex]y-y_1=m(x-x_1\text{ )}[/tex]

Step 3: Substitute all values in the point-slope form equation.

[tex]\begin{gathered} y\text{ - (-1) = }\frac{4}{3}(x\text{ - 9)} \\ y\text{ + 1 = }\frac{4}{3}(x\text{ - 9)} \end{gathered}[/tex]

Step 4: Final answer

[tex]y\text{ + 1 = }\frac{4}{3}(\text{ x - 9) Option C}[/tex]

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