Question

What is the definition of slope, the point-slope formula, the slope-intercept formula, and the standard form of a line?

Accepted Answer

**slope**: $$m = \frac{rise}{run} = \frac{(y_2-y_1)}{(x_2-x_1)}$$, where $$(x_1,y_1 ),(x_2,y_2)$$ are points on the line   
    
**point-slope formula**: $$(y-y_1 ) = m(x-x_1)$$, where *m* is slope and $$(x_1,y_1)$$ is a given point on the line, and *x* and *y* are variables   
    
**slope-intercept formula**: $$y = mx + b$$, where *m* is slope and *b* is the *y*-intercept (where the line crosses the *y*-axis)   
    
**standard line formula**: $$ax + by = c$$, where *a*, *b*, and *c* are coefficients

Flashcard 5 - Math Flashcard Set for the ACT

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