3. two sidewalks in a park are represented by lines on a coordinate grid. two points on each of the lines are shown in the tables.
sidewalk 1
x y
2 7
0 3
sidewalk 2
x y
1 5
3 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 in slope-intercept form.
(c) is the system of equations consistent independent, coincident, or inconsistent? explain.
(d) if the two sidewalks intersect, what are the coordinates of the point of intersection? use the substitution method and show your work.

Side walk one

Slope = ( 7 – 3 ) / ( 2 -0 ) = 2

Solve for y intercept b

Y = mx + b

7 = 2(2) + b

B = 3

Y = 2x + 3

Side waik 2

Slope = ( 5 – 3) / (1 – 3) = -1

Solve for y intercept b

Y = mx + b

 5 = -1(1) + b

B = 6

Y = -x + 6

Solving the two equation

X = 1

Y = 5

The equation are consistent independent because they intersect at one point

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

i believe that the slope of the line is -5

step-by-step explanation: