rubi14
contestada

What is the equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3?

a. y−3=23(x+5)

b. y+3=23(x−5)

c. y+5=23(x−3)

d. y−5=23(x+3)

Respuesta :

Option B

The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3

[tex]y + 3 = \frac{2}{3}(x -5)[/tex]

Solution:

The equation of line in point slope form is given as:

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

Where, "m" is the slope of line

Given that,

slope = 2/3

[tex]m = \frac{2}{3}[/tex]

The line passes through (5, -3)

Substitute m = 2/3 and [tex](x_1, y_1)[/tex] = (5, -3) in point slope form

[tex]y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)[/tex]

Thus equation of line in point slope form is found