Step-by-step explanation:
The slope of the equation tangent to y = f(x) at x = 4 is equal to f'(4). Therefore,
We also know that the line passes through the tangent point at (4, -1) so we can write the slope-intercept form of the equation as
or
so our equation is
or in standard form,
Answer:
Step-by-step explanation:
The equation of the line can be written in slope-intercept form, as y = mx + b.
We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.
y-intercept (b) = the point where the line intercepts the y-axis = 4
Using two points on the line, say, (0, 4) and (2, 3):
m = -½.
Substitute m = -½, and b = 4 into y = mx + b.
The equation of the line would be: