Question

What is the equation in point-slope form of the line that passes through the point (3, −2) and has a slope of 23 ? Drag and drop the appropriate number, symbol, or variable to each box.

x, y, −2/3 , ​2/3, ​2 , 3, 6, +, – , =

Answer 1

y+2=23(x-3)

y+2=23x-69

y = 23x - 71

Answer 2

point slope form of the line is
`y + 2=23(x-3)`

Explanation:

the line that passes through the point (3, −2) and has a slope of 23

Slope = 23, point (3,-2)

we use point slope formula

`y - y_1=m(x-x_1)`

where (x1,y1) is the given point

and m is the slope

(x1,y1) is ( 3,-2)

m = 23

Plug in all the values in point slope form

`y - (-2)=23(x-3)`

`y + 2=23(x-3)`