Respuesta :
The equation that describes the line with slope 5 that contains the point (-2,4) is (y = 5x + 14) and this can be determined by using the given data.
Given :
Slope -- 5
Point -- (-2,5)
Check all the options in order to determine the equation that describes the line with slope 5 that contains the point (-2,4).
A) y = 5x - 2
The slope of the above equation is 5. Now, substitute the value of (x = -2) in the above equation.
y = 5(-2) - 2
y = -10 - 2 = -12
Therefore, this option is incorrect.
B) y = 5x - 22
The slope of the above equation is 5. Now, substitute the value of (x = -2) in the above equation.
y = 5(-2) - 22 = -32
Therefore, this option is incorrect.
C) y = 5x + 4
The slope of the above equation is 5. Now, substitute the value of (x = -2) in the above equation.
y = 5(-2) + 4 = -6
Therefore, this option is incorrect.
D) y = 5x + 14
The slope of the above equation is 5. Now, substitute the value of (x = -2) in the above equation.
y = 5(-2) + 14 = -4
Therefore, this option is correct.
For more information, refer to the link given below:
https://brainly.com/question/2564656
