How do you write the equation for intercept (4,-3), m=-1

Mathematics

1 answer:

Digiron [165]3 years ago

5 0

Answer:

$\large\boxed{y=-x+1}$

Step-by-step explanation:

The slope-intercept from of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = -1 and the point (4, -3) → x = 4, y = -3.

Substitute to the equation:

$-3=(-1)(4)+b$

$-3=-4+b$ add 4 to both sides

$-3+4=-4+4+b$

$1=b\to b=1$

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Hey can you please help me posted picture of question

Flauer [41]

We can determine the correct graph by finding its roots

x² - 4x - 12 = 0

x² - 6x + 2x - 12 = 0

x(x-6) +2(x-6) = 0

(x+2)(x-6) = 0

This means the roots of the function are x=-2, and x=6 and the graph will cross x axis at these two points. From the given graphs, the graph B seems to cross these points.

So the answer to this question is option B

4 0

3 years ago

PLEASE HELP :'))

andreev551 [17]

Answer:

D) 54 cm

Step-by-step explanation:

We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is $\frac{2}{3}$ of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, $R$ is $\frac{2}{3}$ of the distance from $U$ to $V$ , since the latter is the midpoint of the side opposite to $U$ . We know this because $R$ belongs to $UV$ , so $R$ must be $QS$ 's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).