Question

17. Write the equation of the line in slope-intercept form with the given information. 17. Passes through (-2, 6) with a slope of (-1/4)

Answer 1

Given:

Slope of line is m = -1/4 and passes through point (-2,6).

Step-by-step explanation:

The general equation of line with slope m and passing through point (x_1,y_1) is,

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

Determine the equation of line passing through point (-2,6) and have slope of -1/4.

`\begin{gathered} y-6=-(1)/(4)(x-(-2)) \\ y-6=(-1)/(4)\cdot x-(1)/(4)\cdot2 \\ y=-(x)/(4)-(1)/(2)+6 \\ y=-(x)/(4)+(11)/(2) \end{gathered}`

So equation of line is,

y = -x/4 + 11/2