Questions: 3 x-4 y=4 The equation can be written in slope-intercept form.

3 x-4 y=4 The equation can be written in slope-intercept form.
Transcript text: 3 x-4 y=4 The equation can be written in slope-intercept form.
failed

Solution

failed
failed

Solution Steps

To convert the given linear equation \(3x - 4y = 4\) into slope-intercept form \(y = mx + b\), we need to solve for \(y\) in terms of \(x\).

Solution Approach
  1. Isolate the term involving \(y\) on one side of the equation.
  2. Divide by the coefficient of \(y\) to solve for \(y\).
Step 1: Isolate the \(y\) term

Starting with the equation: \[ 3x - 4y = 4 \] we need to isolate the term involving \(y\). Subtract \(3x\) from both sides: \[ -4y = -3x + 4 \]

Step 2: Solve for \(y\)

Next, divide both sides by \(-4\) to solve for \(y\): \[ y = \frac{-3x + 4}{-4} \] Simplify the expression: \[ y = \frac{3x}{4} - 1 \]

Final Answer

\[ \boxed{y = \frac{3}{4}x - 1} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Find the first five terms in sequences with the following nth terms. a. 2n^2+5 b. 6n+3 c. 10^n-2 d. 3n-2
failedAnswered
Let P(Z)=0.50, P(Y)=0.42, and P(Z ∩ Y)=0.18. Use a Venn diagram to find (a) P(Z′ ∩ Y′), (b) P(Z′ ∪ Y′), (c) P(Z′ ∪ Y), and (d) P(Z ∩ Y′). (a) P(Z′ ∩ Y′)=0.26 (b) P(Z′ ∪ Y′)=0.82 (c) P(Z′ ∪ Y)=0.68 (d) P(Z ∩ Y′)=
failedAnswered
Find the vertex of the parabola by applying the vertex formula. h(v)=4v^2-14 The vertex is
failedAnswered
Which of the following equations are equivalent to ax^2+bx+c=0? x=-b ± sqrt(b^2-4ac)/2a x^2+bx=-c (x+b/(2a))^2=(b^2-4ac)/(2a) (x+b/(2a))^2=(b^2-4ac)/(4a^2) x^2+(b/a)x+(c/a)=0 x=(-b ± sqrt(b^2-4ac))/(2a) ax^2+bx=-c
failedAnswered
Which of the following constraints must be balanced to ensure effective project management? I. stakeholders II. quality III. scope a and II b II and III I and III