Slope= -3/4 and the y-intercept= -5. The explanation follows.
You are asked for the slope and y-intercept; therefore, you must take the given equation and manipulate it until it is in slope-intercept form.
Slope-intercept form is y=mx+b where m is equal to the slope and b is equal to the y-intercept. To get the given equation into the slope-intercept form, do this:
1. You need to isolate the y in the given equation by subtracting 5 from both sides
y+5-5=(-3/4)x-5 which equals y=(-3/4)x-5.
2. y=(-3/4)x-5 is in slope intercept form. Just keep in mind that when you subtract the 5, it is the same as adding a negative 5. So it can also be written y=(-3/4)x+-5. Now the slope is what is in front of the x; therefore, the slope is equal to -3/4 and the y-intercept is the -5.
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