Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

2. Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown inthe tablestable 1 (sidewalk 1)x y2 50 1table 2 (sidewalk 2)1 33 -3(a) Write the equation for Sidewalk 1 in slope-intercept form.(b) Write the equation for Sidewalk 2 in point-slope form and then convert to slope-intercept form.(c) Is the system of equations consistent independent, coincident, or inconsistent? Explain.(d) Use the substitution or elimination method to solve your system, and explain which one you picked. If the two sidewalks intersect, what are the coordinates of the point of intersection?

2 Two Sidewalks In A Park Are Represented By Lines On A Coordinate Grid Two Points On Each Of The Lines Are Shown Inthe Tablestable 1 Sidewalk 1x Y2 50 1table 2 class=

Sagot :

a) slope-intercept form: y = 2x + 1

b) point slope form: y - 3 = -3(x - 1)

Explanation:

Slope formula:

[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]

a) sidewalk 1 (table 1)

slope = (1-5)/(0-2) = -4/-2

slope = 2

equation of sidewalk 1 in slope-intercept form: y = mx + c

where m = slope, c = intercept

we need to find the intercept using any point: (2, 5) = (x, y)

5 = 2(2) + c

c = 1

slope-intercept form: y = 2x + 1

b) sidewalk 2(table 2)

slope = (-3-3)/(3-1) = -6/2

slope = -3

[tex]poi\text{ nt slope: }y-y_1=m(x-x_1)[/tex]

using any point: (1, 3) = (x, y)

point slope form: y - 3 = -3(x - 1)

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.