A line has a slope of 4 and passes through the point (3,18). Write its equation in slope-intercept form.
Question
A line has a slope of 4 and passes through the point (3,18). Write its equation in slope-intercept form.
Solution
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope (m) is 4 and the line passes through the point (3,18), we can substitute these values into the equation to find the y-intercept (b).
First, substitute the given values into the equation:
18 = 4*3 + b 18 = 12 + b
Then, solve for b:
b = 18 - 12 b = 6
So, the equation of the line in slope-intercept form is y = 4x + 6.
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