So your equation is currently in point-slope form; however, to figure out the slope and y-intercept, you'd be better off in slope-intercept form: y = mx + b
while in point-slope form, y - y1 = m(x - x1), you can definitely see the slope as -5, you can't see the y-intercept as easily. x-intercepts are actually the solutions/zeros of a function, and it was included in the answer choices to confuse you.
you're correct about -5 being a decreasing slope. but to figure out the y-intercept, you need to convert to slope-intercept form.
y - 4 = -5(x + 1) ... distribute the -5
y - 4 = -5x - 5 ... add 4
y = -5x - 1
and in the form of y = mx + b, where m is the slope and b is the y-intercept, you can see that you have a decreasing slope of -5 and a y-intercept of -1. your correct answer is A. choices C and D were thrown in to distract you and make you think that the -5(x + 1) was somehow related to discovering the x-intercept.
<h3>
Answer = 3:1</h3>
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Work Shown
45 girls : 15 boys
45/15 girls : 15/15 boys .... divide both parts by 15
3 girls : 1 boy
This tells us there are three times as many girls as there are boys.
We write this as the ratio 3 : 1. The order of the terms is important. We cannot say 1:3 since that would imply there are more boys than girls, but it's the other way around.
Answer:
3p^3 + qp^2 - pq^2 + 3q^3
Step-by-step explanation:
(p²-pq + q²) ( 3p+ 3q)
3p^3 + 3qp^2 - 3qp^2 - 3pq^2 + 3pq^2 + 3q^3
3p^3 + qp^2 - pq^2 + 3q^3
We can say that there are 20 blueberry muffins for every 15 bran muffins, according to the given information. This can be expressed as 20:15 in ratio form. We can simplify this ratio further, by dividing both sides by 5, to leave us with the simplified ratio of blueberry to bran muffins, 4:3
This is what I got RR || SS