graph this line using the slope and y - intercept:\n\n$y = \\frac{1}{10}x + 1$\n\nclick to select points on…

graph this line using the slope and y - intercept:\n\n$y = \\frac{1}{10}x + 1$\n\nclick to select points on the graph.

graph this line using the slope and y - intercept:\n\n$y = \\frac{1}{10}x + 1$\n\nclick to select points on the graph.

Answer

Explanation:

Step1: Identify the y - intercept

The equation is in the form (y = mx + b), where (b) is the y - intercept. For (y=\frac{1}{10}x + 1), (b = 1). So, plot the point ((0,1)) on the graph.

Step2: Use the slope to find another point

The slope (m=\frac{1}{10}). Slope (m=\frac{\text{rise}}{\text{run}}). From the point ((0,1)), since (m=\frac{1}{10}), we move 1 unit up (rise) and 10 units to the right (run). So, we get the point ((10,2)) (because (y=1+\frac{1}{10}\times10=1 + 1=2) when (x = 10)).

Step3: Draw the line

Connect the points ((0,1)) and ((10,2)) with a straight line. This line represents the equation (y=\frac{1}{10}x+1).

Answer:

Plot the point ((0,1)) (y - intercept), then from ((0,1)) use the slope (\frac{1}{10}) (rise 1, run 10) to get ((10,2)) and draw a line through these two points.