What value for the variable makes this equation true?
`-2= 3+ b/4

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Let's solve your equation step-by-step.

−2 = 3 + b / 4

Step 1: Simplify both sides of the equation.

−2 = 3 + b / 4

−2 = 3 + 1 / 4b

−2 = 1 / 4b + 3

Step 2: Flip the equation.

1 / 4b + 3 = −2

Step 3: Subtract 3 from both sides.

1 / 4b + 3 − 3 = −2 − 3

1 / 4b = −5

Step 4: Multiply both sides by 4.

4 * ( 1 / 4b ) = ( 4 ) * ( −5 )

b = −20

b = −20

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5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

there are no answer choices

step-by-step explanation: