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Writing Systems of Linear Equations from Word Problems Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find. Translate the problem to an equation. Assign a variable (or variables) to represent the unknown. Carry out the plan and solve the problem.
There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.
Example: y = 2x + 1 is a linear equation: When x increases, y increases twice as fast, so we need 2x. When x is 0, y is already 1. So +1 is also needed. And so: y = 2x + 1.
The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis.
Slope Intercept Form: y= mx + b. Point Slope Form: y -y1 = m (x x1)
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The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis.

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