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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)

17 Write The Equation Of The Line In Slopeintercept Form With The Given Information 17 Passes Through 2 6 With A Slope Of 14 class=

Sagot :

Given:

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

Explanation:

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

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

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

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

So equation of line is,

y = -x/4 + 11/2

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