Answer: Therefore, the equation of the line with slope 7 passing through the point (2,7) in slope-intercept form is y = 7x - 7.
Step-by-step explanation:
To write the equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Given that the slope m = 7 and the point (x1, y1) = (2, 7), we can substitute these values into the formula:
y - 7 = 7(x - 2)
Now we can simplify and put the equation in slope-intercept form:
y - 7 = 7x - 14
y = 7x - 14 + 7
y = 7x - 7
Therefore, the equation of the line with slope 7 passing through the point (2,7) in slope-intercept form is y = 7x - 7.
