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6. What is the equation in standard form of the line that passes through the point 2 ? (10,-3) and has a slope of 5

6 What Is The Equation In Standard Form Of The Line That Passes Through The Point 2 103 And Has A Slope Of 5 class=

Sagot :

The standard form of equation of line is :

[tex]y=m(x-x_1)+y_1[/tex]

In the given question, we have coordinates : (10,-3) and slope m = 2/5

[tex]\begin{gathered} y=m(x-x_1)+y_1 \\ y=\frac{2}{5}(x-10)+(-3) \\ y=\frac{2}{5}x-\frac{2}{5}(-10)+(-3) \\ y=\frac{2}{5}x-2(-2)+(-3) \\ y=\frac{2}{5}x-4-3 \\ y=\frac{2}{5}x-7 \\ y+7=\frac{2}{5}x \\ 5y+35=2x \\ 2x\text{ -5y =35} \end{gathered}[/tex]

The equation of line is 2x - 5y = 35

Anwer : C) 2x - 5y = 35

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