Respuesta :

Answer:

The equation in slope-intercept form will be:

  • y = -2x + 14

Step-by-step explanation:

Given

  • slope = m = -2
  • point (5, 4)

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope of the line and b is the y-intercept

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14  in the slope-intercept form to get the equation in slope-intercept

y = mx+b

y = -2x + 14

Therefore, the equation in slope-intercept form will be:

  • y = -2x + 14