Question

A line passes through the point (-6, -2) and has a slope of -5/2

Answer 1

Answer: y = -5/2 -17

Step-by-step explanation: First put the equation in point slope form

Y-y1 = m(x-x1)

y + 2 = -5/2(x+6) then simplify to slope int. form

Y= mx + b

Y = -5/2x-17

Answer 2

y = (-5/2)x - 17

Explanation:

Slope Intercept Formula:

y = mx + b

m = slope

b = y-intercept

Plugin Information:

y = mx + b

Slope = -5/2

y = (-5/2)x + b
`\longmapsto\\` Input x and y values from given point

-2 = (-5/2)-6 + b

Simplify, Solve for b:

-2 = (-5 * -6)/(2) + b

-2 = 30/2 + b

-2 = 15 + b

b = -2 - 15

b = -17

Rewrite Equation:

y = mx + b

m = -5/2

b = -17

y = (-5/2)x - 17

-Chetan K

-Chetan K