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Answer:
Slope: -3/4
y-intercept: (0,-5)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Answer and step-by-step explanation:
I am assuming the equation is:
[tex]y + 2 = -\frac{3}{4}(x + 4)[/tex]
It will be easier if we convert the fraction to a decimal, for now.
[tex]y + 2 = -0.75(x + 4)[/tex]
Then we can simplify a bit, using the distributive property.
[tex]y + 2 = -0.75x - 3[/tex]
Now, we want to have the y all by its self. So, let's subtract 2 on both sides.
[tex]y + (2 - 2) = -0.75x + (-3 - 2)[/tex]
[tex]y = -0.75x - 5[/tex]
Let's convert the decimal back into a fraction.
[tex]y = -\frac{3}{4}x - 5[/tex]
Now we have our equation. To start graphing, let's plot the y-intercept. Our y-intercept is -5. So we can plot the point (0, -5). Now, we need to find the slope. The slope is [tex]-\frac{3}{4}[/tex]. It's negative, which means that the line will start from the top right to the bottom left. That means that every time we move to the right one unit, we will move down 0.75 units. I hope this helps!
