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There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.

How to Write an Equation Read the entire problem several times. Look for keywords like more, less, is, etc. Replace the keywords with their mathematical operations and shorten the words to variables. ... Solve the resulting equation. Answer the problem clearly in a complete sentence.

Standard form of an equation is: a x + b y = c ax+by=c ax+by=c. Standard form is useful for solving systems of equations and for determining intercepts.

The equation of a straight line can be found using different formulas: Point-slope form: y - y1 = m (x - x1) Two-point form: y - y1 = [(y2-y1) / (x2-x1)] (x - x1) Slope-intercept form: y = mx + c. Intercept form: x/a + y/b = 1. General form: ax + by = c. Normal form: x cos ? + y sin ? = p.

Cutting speed VC = 800 sfm (244 m/min.) Calculating the power requirement P using UP and mrr is the conventional method. The unit power values for turning on 218-HB alloy steel 4140 (DIN 1.1724) are taken from Table 4. mrr = DOC × f × 12 × VC = 0.200 × 0.020 × 12 × 800 = 38.40 in.3/min.

Formatting an Equation Therefore, once you enter an equation, you may need to resize it to look consistent with the text. Tip: when resizing an equation, drag the corner of the equation box to scale the equation. If you drag the side or top/bottom of the box it will stretch the equation.

Cutting time is the time required to machine the workpiece. As shown in the formula below, cutting time can be found by 2113m (workpiece length) ÷ 2113(cutting length per minute). Example: When cutting length per min is 20mm and workpiece length is 100mm; 100÷20=5. Cutting time is 5 minutes.

The following equation is used to calculate spindle speed: rpm = sfm ÷ diameter × 3.82, where diameter is the cutting tool diameter or the part diameter on a lathe in inches, and 3.82 is a constant that comes from an algebraic simplifica-tion of the more complex formula: rpm = (sfm × 12) ÷ (diameter × 03c0).

The following equation is used to calculate spindle speed: rpm = sfm ÷ diameter × 3.82, where diameter is the cutting tool diameter or the part diameter on a lathe in inches, and 3.82 is a constant that comes from an algebraic simplifica-tion of the more complex formula: rpm = (sfm × 12) ÷ (diameter × 03c0).