Question

graph the line containing the point p and having slope m. p=(-6,3) m = 1. start by plotting the point on the graph. then find a second point by using the slope of the line. plot the first point (-6,3) on the graph. now interpret the slope. what does a slope of 1 mean? a. for every unit of increase in x, y will decrease by 1 unit. b. for every 1 units of increase in x, y will increase by 0 units. c. for every 1 units of increase in x, y will decrease by 0 units. d. for every unit of increase in x, y will increase by 1 unit. to find a second point for the line, use the slope formula. m = \\(\frac{rise}{run}=\frac{1}{1}\\)

Explanation:

Step1: Recall slope definition

The slope $m=\frac{\text{Rise}}{\text{Run}}$. A slope of $m = 1=\frac{1}{1}$ means for every 1 - unit increase in the $x$ - value (run), the $y$ - value (rise) increases by 1 unit.

Step2: Analyze options

Option A says for every unit of increase in $x$, $y$ decreases by 1 unit which corresponds to a slope of - 1. Option B says for every 1 unit increase in $x$, $y$ increases by 0 units which corresponds to a slope of 0. Option C says for every 1 unit increase in $x$, $y$ decreases by 0 units which also corresponds to a slope of 0. Option D says for every unit of increase in $x$, $y$ increases by 1 unit which corresponds to a slope of 1.

Answer:

D. For every unit of increase in x, y will increase by 1 unit.