Final answer:
To write the equation of a line with a given slope and point, we can use the slope-intercept form. Substitute the known values into the equation and solve for the y-intercept
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we need to use the formula y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept. Given that the slope is 6 and the line passes through the point (-6, 6), we can substitute these values into the equation.
y = 6x + b
Using the coordinates of the point (-6, 6), we substitute x = -6 and y = 6 into the equation and solve for 'b':
6 = 6(-6) + b
6 = -36 + b
b = 36 + 6
b = 42
Therefore, the equation of the line in slope-intercept form is y = 6x + 42.
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