Question

Use point-slope form to write an equation of the line. Write the equation in standard form. The line passes through (-2, 2) and has a slope of -4. ?

Answer 1

The equation of the line that passes through (-2, 2) and has a slope of -4 in standard form is;

`4x+y=-6`

Step-by-step explanation:

Given that the line passes through (-2, 2) and has a slope of -4;

`\begin{gathered} m=-4 \\ (x_1,y_1)=(-2,2) \end{gathered}`

Using the point-slope form of linear equation;

`y-y_1=m(x-x_1)`

substituting the given values;

`\begin{gathered} y-y_1=m(x-x_1) \\ y-2_{}=-4(x-(-2)) \\ y-2=-4(x+2) \\ y-2=-4x-8 \\ \text{moving the terms;} \\ y+4x=-8+2 \\ y+4x=-6 \\ 4x+y=-6 \end{gathered}`

Therefore, the equation of the line that passes through (-2, 2) and has a slope of -4 in standard form is;

`4x+y=-6`