Question

What is the equation in point-slope form of the line that passes through the point (2 , 4) and has a slope of 3

Question 9 options:

y+4=3(x+2)


y-2=3(x-4)


y-4=3(x-2)


y+2=3(x+4)

Answer 1

The equation in point-slope form of the line that passes through the point (2, 4) and has a slope of 3 is:

y - 4 = 3(x - 2)

Therefore, the correct option is:

y - 4 = 3(x - 2)

Answer 2

option 3

Explanation:

The point-slope formula is:

`\bf{y-y_1=m(x-x_1)}`

Where
`\bf{(x_1,y_1)}` is a point on the line and m is the slope.

Plug in 4 for
`\bf{y_1}`

`\bf{y-4=m(x-x_1)}`

Plug in 3 for slope

`\bf{y-4=3(x-x_1)}`

Plug in 2 for
`\bf{x_1}`

`\bf{y-4=3(x-2)}`

Therefore, option 3 is correct.