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and has a slope of -5/4
A line passes through the point 8,3
Write an equation in slope-intercept form for this line.

Respuesta :

mhanifa

Answer:

  • y = (- 5/4)x + 13

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Given

  • Line with the slope of -5/4,
  • Passing through the point (8, 3).

To find

  • Equation of the line in slope-intercept form

Solution

Slope-intercept form:

  • y = mx + b, where m- the slope, b- the y-intercept

Find the value of b:

  • 3 = (- 5/4)*(8) + b
  • 3 = - 10 + b
  • b = 3 + 10
  • b = 13

The line is:

  • y = (- 5/4)x + 13
ItzTds

Answer:

y = (-5/4)x + 13

Step-by-step explanation:

Formula we use,

→ y = mx + b

Now the value of b will be,

→ 3 = (-5/4)8 + b

→ 3 = -40/4 + b

→ 3 = -10 + b

→ 3 + 10 = b

→ [ b = 13 ]

Then the equation will be,

→ y = mx + b

→ 3 = (-5/4)8 + 13

→ y = (-5/4)x + 13

Thus, answer is y = (-5/4)x + 13.