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Blababa [14]
3 years ago
9

Write an equation in point-slope form of the line through point J(4,1) with slope -4.

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
4 0
Point slope form
y - y1 = m(x - x1)

Plug in the given
slope = -4
Point ( 4, 1)

y - 1 = -4(x - 4)
y - 1 = -4x +16
add 1 to both sides
y = -4x + 17

Hope this helps!
ladessa [460]3 years ago
4 0

Answer:

The point-slope form of the line is y - 1 = -4(x - 4)

Step-by-step explanation:

In order to find the equation of the line, you start with the base form of point-slope form.

y - y1 = m(x - x1)

Now, input the slope in for m and the point in for (x1, y1).

y - 1 = -4(x - 4)

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Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.

From this we get the point-slope form:

y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.

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