The required equation of the line is y = 4x - 15
The slope-intercept form of a line is given by
Where m = slope and c = y-intercept
Given slope of line m = 4 and the point is (2, -7)
As we know
The slope-intercept form is, y = mx + c --- (1)
From the given data, m = 4
Substitute m = 4 in (1)
=> y = 4x + c ---- (2)
Here (2) will pass through (2, -7)
(2) => - 7 = 4(2) + c
=> - 7 = 8 + c
=> c = - 8 - 7
=> c = - 15
=> (2) => y = 4x - 15
Therefore,
The required equation of the line is y = 4x - 15
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