This math topic focuses on finding the points of intersection between linear equations and vertical lines. Each problem provides two equations: a linear equation in slope-intercept form and a vertical line defined by a constant x-value. The task requires determining the exact point where these two lines intersect, with answers presented in multiple-choice format. The problems are an introductory exploration into the concept of linear equation intersections, emphasizing integer solutions and graph-based analysis.

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Linear Equations - Find Intersection (Integer) - With Vertical Line Worksheet

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Linear Equations - Find Intersection (Integer) - With Vertical Line
1
Find the intersection point of these two lines
A LaTex expression showing y = 5x + 5\\x=1
a A LaTex expression showing (1,11)
b A LaTex expression showing (1,14)
c A LaTex expression showing (1,8)
d A LaTex expression showing (1,10)
e A LaTex expression showing (3,12)
f A LaTex expression showing (1,5)
2
Find the intersection point of these two lines
A LaTex expression showing y = -2x - 0\\x=-2
a A LaTex expression showing (-2,1)
b A LaTex expression showing (1,4)
c A LaTex expression showing (-2,6)
d A LaTex expression showing (-2,4)
e A LaTex expression showing (-5,5)
f A LaTex expression showing (-2,3)
3
Find the intersection point of these two lines
A LaTex expression showing y = 8x + 1\\x=3
a A LaTex expression showing (3,24)
b A LaTex expression showing (3,27)
c A LaTex expression showing (3,22)
d A LaTex expression showing (4,28)
e A LaTex expression showing (3,28)
f A LaTex expression showing (3,25)
4
Find the intersection point of these two lines
A LaTex expression showing y = 5x + 3\\x=1
a A LaTex expression showing (1,11)
b A LaTex expression showing (1,12)
c A LaTex expression showing (0,3)
d A LaTex expression showing (1,3)
e A LaTex expression showing (4,10)
f A LaTex expression showing (1,8)
5
Find the intersection point of these two lines
A LaTex expression showing y = 2x - 1\\x=-5
a A LaTex expression showing (-5,-7)
b A LaTex expression showing (-5,-12)
c A LaTex expression showing (-5,-11)
d A LaTex expression showing (-5,-8)
e A LaTex expression showing (-5,-13)
f A LaTex expression showing (-5,-15)
6
Find the intersection point of these two lines
A LaTex expression showing y = 8x - 0\\x=3
a A LaTex expression showing (5,19)
b A LaTex expression showing (5,26)
c A LaTex expression showing (0,23)
d A LaTex expression showing (3,22)
e A LaTex expression showing (6,26)
f A LaTex expression showing (3,24)
7
Find the intersection point of these two lines
A LaTex expression showing y = -2x - 6\\x=7
a A LaTex expression showing (7,-21)
b A LaTex expression showing (7,-25)
c A LaTex expression showing (9,-19)
d A LaTex expression showing (7,-18)
e A LaTex expression showing (7,-20)
f A LaTex expression showing (7,-23)
8
Find the intersection point of these two lines
A LaTex expression showing y = -6x + 6\\x=6
a A LaTex expression showing (6,-30)
b A LaTex expression showing (6,-35)
c A LaTex expression showing (6,-31)
d A LaTex expression showing (6,-34)
e A LaTex expression showing (5,-30)
f A LaTex expression showing (6,-27)