youre trying to write an equation that represents this line by finding the slope and vertical intercept…

youre trying to write an equation that represents this line by finding the slope and vertical intercept. remember, the slope is the change in vertical distance for a given change in horizontal distance. we can use any two points on the line to find the slope. label the coordinates of the two points on the graph below. slope = \\(\\frac{\\text{vertical distance}}{\\text{horizontal distance}}\\)

youre trying to write an equation that represents this line by finding the slope and vertical intercept. remember, the slope is the change in vertical distance for a given change in horizontal distance. we can use any two points on the line to find the slope. label the coordinates of the two points on the graph below. slope = \\(\\frac{\\text{vertical distance}}{\\text{horizontal distance}}\\)

Answer

Explanation:

Step1: Identify first point coordinates

The lower point has $x=0.6$, $y=6$, so coordinates $(0.6, 6)$.

Step2: Identify second point coordinates

The upper point has $x=1.10$, $y=10$, so coordinates $(1.10, 10)$.

Step3: Calculate vertical distance

Subtract y-values: $10 - 6 = 4$

Step4: Calculate horizontal distance

Subtract x-values: $1.10 - 0.6 = 0.5$

Step5: Compute slope

Divide vertical by horizontal distance: $\frac{4}{0.5} = 8$

Step6: Find vertical intercept

Use $y=mx+b$, plug $(0.6,6)$ and $m=8$: $6 = 8(0.6) + b$ $6 = 4.8 + b$ $b = 6 - 4.8 = 1.2$

Step7: Write line equation

Substitute $m=8$, $b=1.2$ into $y=mx+b$

Answer:

Labeled points: $(0.6, 6)$ and $(1.10, 10)$ Slope: $8$ Vertical intercept: $1.2$ Line equation: $y = 8x + 1.2$