Slope-Intercept Form Quiz

Slope-Intercept Form of a Line

Slope-intercept form of a line is represented as ( y = mx + b ) where ( m ) is the slope and ( b ) is the y-intercept.
A leaf falls from a height of 12 feet at a rate of 0.25 feet/sec. Its height as a function of time can be modeled using linear equations.
For a graphed linear function, the slope is given as an upward or downward trajectory while the y-intercept corresponds to the point where the line intersects the y-axis.
In trapezoid WXYZ formed by lines on a coordinate plane:
- Line WZ has the same slope as line XY.
- Line XW has a lesser slope compared to line YZ.
- Line ZW shares the same y-intercept as line YZ.
For the function ( f(x) = -x + ? ), the y-intercept is calculated to be ( \frac{1}{3} ).
To determine a line with a specific slope and y-intercept that corresponds to ( y = x - 2 ), analyze graphs to identify these characteristics.
Grant’s swimming path in a pool modeled on a coordinate graph can be defined with the equation ( y = 4 - \frac{x}{2} ).
Nolan plots a line with a y-intercept of (0, 3) and a slope of 2, leading to the equation ( y = 2x + 3 ).
The line represented by the equation ( y = -\frac{2}{3} - 5x ) has a slope of -5.
For Harita's music measures, her process of memorizing measures yields the equation ( m = 90 - 6d ).
The profit function for a hot dog stand is dependent on sales. The equation ( y = 2x - 48 ) captures the profit based on ( x ) hot dogs sold.
A linear equation representing a graphed function could be ( y = -\frac{1}{3}x + 3 ).
Revenue generated by greeting cards sold is modeled by ( y = 4x ), indicating the profit earned per card.
The slope of the equation ( y = \frac{4}{5} x - 3 ) is ( \frac{4}{5} ).
For the equation ( y = -\frac{1}{2}x + \frac{1}{4} ), the slope is calculated to be -0.5.
The y-intercept of the function ( f(x) = -\frac{2}{9}x + \frac{1}{3} ) is found to be ( \frac{1}{3} ).
Nolan’s plotted line with a y-intercept of (0, 3) and a slope of 2 is again defined by the equation ( y = 2x + 3 ).