Questions: Nivel 6 (i)

Nivel 6 (i)
Transcript text: Nivel 6 (i)
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Solution

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Solution Steps

Step 1: Find two points on the line.

Two points that are clearly on the line are (0,1) and (2,9).

Step 2: Calculate the slope.

The slope of a line is given by the formula: (y2 - y1) / (x2 - x1)

Using the points (0,1) and (2,9): Slope = (9 - 1) / (2 - 0) = 8 / 2 = 4

Step 3: Determine the y-intercept.

The y-intercept is the point where the line crosses the y-axis. In this case, it's the point (0,1), so the y-intercept is 1.

Step 4: Write the equation.

Using the slope-intercept form (y = mx + b), where 'm' is the slope and 'b' is the y-intercept, the equation of the line is:

y = 4x + 1

Final Answer

The equation of the line is y = 4x + 1.

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