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3 years ago

What is the slope and y intercept of -2x +3y=-9

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

Answer:

m = 2/3

b = -3

Step-by-step explanation:

Rearrange the equation to slope-intercept form (y = mx + b).

x and y are points on the graph.

m is the slope.

b is the y-intercept.

Isolate "y". This means separating it from the other numbers.

-2x +3y = -9

-2x + 2x +3y = -9 + 2x Add 2x to both sides

3y = 2x - 9

3y/3 = 2x/3 - 9/3 Divide both sides by 3

y = 2x/3 - 9/3 Simplify

y = (2/3)x - 3

Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.

m = 2/3

b = -3

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In the diagram of circle O, what is the measure of ? 27° 54° 108° 120°

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Answer:

Option (2).

Step-by-step explanation:

This question is incomplete; here is the complete question and find the figure attached.

In the diagram of a circle O, what is the measure of ∠ABC?

27°

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108°

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m(minor arc $\widehat {AC}$ ) = 126°

m(major arc $\widehat {AC}$ ) = 234°

By the intersecting tangents theorem,

If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.

m∠ABC = $\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]$

= $\frac{1}{2}(234-126)$

= 54°

Therefore, Option (2) will be the answer.

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