Question - Understanding Linear Equations: Slope-Intercept Form
Solution:
The image you provided shows the equation y = 1/3x - 4. This is a linear equation in the slope-intercept form y = mx + b, where:- m stands for the slope of the line, which in this case is 1/3, indicating that for every increase of x by 3 units, y increases by 1 unit.- b stands for the y-intercept, which is the value of y when x is 0. In this case, b is -4, meaning the line crosses the y-axis at (0, -4).This equation does not have a specific solution since it represents a line with infinitely many points that satisfy the equation. To graph this line, you can plot the y-intercept at (0, -4) on a coordinate plane and use the slope to determine another point. Starting at (0, -4), move up 1 unit and to the right 3 units to find the next point at (3, -3). Connect these points with a straight line to represent the equation.
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