Question

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} from the point (-6,3), move 1 unit up, then to the right 1 unit. starting from the y_1 of 3, move 1 unit up. what is the value of y_2? y_2 = 4 starting from the x_1 of -6, move 1 unit to the right. what is the value of x_2? x_2 =

Explanation:

Step1: Understand the movement based on slope

The slope $m = 1=\frac{\text{Rise}}{\text{Run}}$. Starting from $x_1=-6$, moving 1 unit to the right means adding 1 to the $x -$coordinate.

Step2: Calculate the new $x -$coordinate

$x_2=x_1 + 1$. Substitute $x_1=-6$ into the formula: $x_2=-6 + 1=-5$.

Answer:

-5