Final answer:
To find the equation of the line passing through the points (2,2) and (4,8), we can use the slope-intercept form of a linear equation, which is y = mx + b. The slope of the line can be found using the formula: slope = (change in y)/(change in x). From the given points: (2,2) and (4,8), the change in y is 8-2 = 6 and the change in x is 4-2 = 2. So, the slope of the line is 6/2 = 3. Now, we have the slope (m) and one point (2,2). To find the y-intercept (b), we can substitute the values of the point and slope into the slope-intercept form. 2 = 3(2) + b. Solving this equation, we get b = -4. Therefore, the equation of the line is y = 3x - 4.
Step-by-step explanation:
To find the equation of the line passing through the points (2,2) and (4,8), we can use the slope-intercept form of a linear equation, which is y = mx + b. The slope of the line can be found using the formula: slope = (change in y)/(change in x). From the given points: (2,2) and (4,8), the change in y is 8-2 = 6 and the change in x is 4-2 = 2. So, the slope of the line is 6/2 = 3.
Now, we have the slope (m) and one point (2,2). To find the y-intercept (b), we can substitute the values of the point and slope into the slope-intercept form. 2 = 3(2) + b. Solving this equation, we get b = -4. Therefore, the equation of the line is y = 3x - 4.