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2 years ago

Pls Help! Which equation matches the given points?

Mathematics

1 answer:

ira [324]2 years ago

5 0

Answer:

D) y = −2/5x

Step-by-step explanation:

In the equation for a line ...

y = mx +b

the constant 'b' is the y-intercept of the line. The y-intercept is the value of y when x = 0.

The point (0, 0) tells you the y-intercept is 0, or b=0. That reduces the equation to the form ...

y = mx

The value of m is most easily found if you have a point where x=1. In that case, ...

y = 1m

y = m

In the given list of points, there is one that is helpful here: (1, -0.4). That is, the equation for the given points is ...

y = -0.4x

The answer choices are given as fractions, so you must convert -0.4 to the fraction -2/5.

y = -2/5x . . . . describes the given points

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3 years ago

Lines a and b are parallel Line cis perpendicular to both line a and line b. Which

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Answer:

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Step-by-step explanation:

The slopes of parallel lines are the same. The slopes of perpendicular lines are negative reciprocals of each other, hence their product is -1.

___

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3 years ago

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stepladder [879]

Answer:

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Step-by-step explanation:

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3 years ago

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What's the slope-intercept form that passes through the points (0, -1) and (1, 5)?

Rzqust [24]

Answer:

Step-by-step explanation:

$\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}$

(0, -1) ⇒ x₁ = 0, y₁ = -1

(1, 5) ⇒ x₂ = 1, y₂ = 5

So the slope:

$\bold{m=\dfrac{5+1}{1-0}=\dfrac{6}{1}=6}$

The slope-intercept form of the equation of line is y = mx + b, where m is the slope and b is the y-intercept of the line.

(0, -1) ⇒ x₀ = 0, y₀ = -1 ⇒ b = -1

Therefore:

y = 6x - 1 ← the slope-intercept form of the equation

5 0

3 years ago