Question

Equation of a line in slope intercept form and standard form Slope of -1/2 and contains point (-2, 5)

Answer 1

We can use the point slope formula to find the slope intercept form of the equation.

`y-y1=m(x-x1)`

Where m is the slope and x1 and y1 are the coordinates of the given point. Replace for the given values:

`y-5=-(1)/(2)(x-(-2))`

Now, solve for y to find the slope intercept form of the equation:

`\begin{gathered} y-5=-(1)/(2)x-1 \\ y=-(1)/(2)x-1+5 \\ y=-(1)/(2)x+4 \end{gathered}`

The equation of the line is:

`y=-(1)/(2)x+4`