Math Problem Statement

Where Lines with Different Slopes Meet On the same coordinate axes, draw one line with vertical intercept 2 and slope 3 and another with vertical intercept 4 and slope 1. Do these lines cross? If so, do they cross to the right or left of the vertical axis? In general, if one line has its vertical intercept below the vertical intercept of another, what conditions on the slope will ensure that the lines cross to the right of the vertical axis? Give me a accurate graph

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Graphing Linear Equations
Slopes and Intercepts

Formulas

Slope-intercept form: y = mx + b

Theorems

If two lines have different slopes, they intersect at exactly one point.

Suitable Grade Level

Grades 8-10