Answer:
The equation of the graphed line is:
Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
Let's solve for x.<span><span><span>3x</span>−<span>4y</span></span>=3</span>Step 1: Add 4y to both sides.<span><span><span><span>3x</span>−<span>4y</span></span>+<span>4y</span></span>=<span>3+<span>4y</span></span></span><span><span>3x</span>=<span><span>4y</span>+3</span></span>Step 2: Divide both sides by 3.<span><span><span>3x</span>3</span>=<span><span><span>4y</span>+3</span>3</span></span><span>x=<span><span><span>43</span>y</span>+1</span></span>Answer:<span>x=<span><span><span>43</span>y</span>+<span>1</span></span></span>
