Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.