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2
4.3.3 Quiz: Point-Slope Equation of a Line
Question 6 of 10
2 Points
What is a point-slope equation of the line with slope -10 that goes through
the point (1,4)?
O
A. y - 4 = 10(x - 1)
O
oo
B. y+ 4 = 10(x + 1)
C. y+ 4 = -10(x+1)
D. Y-4 = -10(x - 1)
SUBMIT

Respuesta :

The point-slope equation of the line with slope -10 that goes through  the point (1,4) is : y - 4 = -10(x - 1)

Solution:

The point slope form of a line is given as:

[tex]y - y_1 = m(x-x_1)[/tex]

Where, m is the slope of line

From given,

m = -10

Given point is (1, 4)

Substitute m = -10 and [tex](x_1, y_1)[/tex] = (1, 4) in given formula

[tex]y - 4 = -10(x - 1)[/tex]

Thus the point-slope equation of the line with slope -10 that goes through

the point (1,4) is found

Thus Option D is correct