Linear Equations - Find Intersection (Decimal) - With Horizontal Line

Level 1

This math topic focuses on finding intersection points of linear equations where one equation is generally presented in slope-intercept form (y = mx + b) and the other is a horizontal line equation (y = c). This involves utilizing algebraic methods to solve for x when two lines intersect, then substituting back to get the y-coordinate. Each question provides a pair of these types of equations, and multiple choice answers are given, featuring coordinates that students must decipher to select the correct point of intersection. This reinforces skills in understanding linear behaviors and enhancing problem-solving abilities involving decimals.

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Linear Equations - Find Intersection (Decimal) - With Horizontal Line

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the intersection point of these two lines

y=7x5y=2y = 7x - 5\\y=-2

Linear Equations - Find Intersection (Decimal) - With Horizontal Line Worksheet

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Math worksheet on 'Linear Equations - Find Intersection (Decimal) - With Horizontal Line (Level 1)'. Part of a broader unit on 'Linear Equation Intersections - Intro' Learn online: app.mobius.academy/math/units/line_equations_and_intersections_intro/
1
Find the intersection point of these two lines
A LaTex expression showing y = 4x - 0\\y=5
a A LaTex expression showing (-2.75,5)
b A LaTex expression showing (4.25,5)
c A LaTex expression showing (5.25,5)
d A LaTex expression showing (0.25,6)
e A LaTex expression showing (0.25,5)
f A LaTex expression showing (1.25,5)
2
Find the intersection point of these two lines
A LaTex expression showing y = 8x - 1\\y=-2
a A LaTex expression showing (-1.13,2)
b A LaTex expression showing (-0.13,-2)
c A LaTex expression showing (-3.13,-1)
d A LaTex expression showing (-5.13,-5)
e A LaTex expression showing (1.88,-2)
f A LaTex expression showing (-2.13,-2)
3
Find the intersection point of these two lines
A LaTex expression showing y = -6x - 0\\y=-6
a A LaTex expression showing (-3,-8)
b A LaTex expression showing (4,-2)
c A LaTex expression showing (0,-6)
d A LaTex expression showing (1,-6)
e A LaTex expression showing (-3,-2)
f A LaTex expression showing (4,-4)
4
Find the intersection point of these two lines
A LaTex expression showing y = 1x + 4\\y=1
a A LaTex expression showing (-3,1)
b A LaTex expression showing (-5,1)
c A LaTex expression showing (-7,1)
d A LaTex expression showing (-6,4)
e A LaTex expression showing (1,1)
f A LaTex expression showing (0,5)
5
Find the intersection point of these two lines
A LaTex expression showing y = -4x - 6\\y=8
a A LaTex expression showing (-3.5,8)
b A LaTex expression showing (-7.5,8)
c A LaTex expression showing (-3.5,11)
d A LaTex expression showing (-5.5,10)
e A LaTex expression showing (-8.5,8)
f A LaTex expression showing (-4.5,8)
6
Find the intersection point of these two lines
A LaTex expression showing y = -2x - 2\\y=6
a A LaTex expression showing (-7,2)
b A LaTex expression showing (-3,6)
c A LaTex expression showing (-8,6)
d A LaTex expression showing (-4,6)
e A LaTex expression showing (-7,10)
f A LaTex expression showing (0,6)
7
Find the intersection point of these two lines
A LaTex expression showing y = -6x - 5\\y=5
a A LaTex expression showing (-5.67,2)
b A LaTex expression showing (1.33,5)
c A LaTex expression showing (-3.67,5)
d A LaTex expression showing (-0.67,5)
e A LaTex expression showing (-1.67,5)
f A LaTex expression showing (2.33,5)