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Vikentia [17]
3 years ago
8

What is the gradient and y-intercept of a line with equation y = 3x+2?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0
Gradient:3
Y intercept:(0,2)
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It would just be -14 still
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Write the equation of the line in slope intercept form Slope=-4 Point=(2,-4)
Andrei [34K]

Answer:

y=2x-8

or

f(x)=2x-8

Step-by-step explanation:

To write in slope-intercept form using this information, first use the point slope formula.

y-y1=m(x-x1)

m is slope.

y+4=2(x-2)

Use distributive property on the right side.

y+4=2x-4

Now, subtract 4 from both sides.

y+4-4=2x-4-4

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Written using function notation:

f(x)=2x-8

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If x varies directly as y, then what is y when x = 4,<br> knowing that x = 60 when y = 5?
Basile [38]

Answer:  The answer would be 1/2

Step-by-step explanation:

<em>Y varies DIRECTLY as x. Find the constant of variation, k, if y = -5x </em>

<em>The first sentence is there for information, the constant is a number( 1,2,3...so on) , so the only number is -5 </em>

<em>It is a linear equation meaning equation of a straight line. </em>

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<em>next, y varies directly as x. If y = 15 when x = 60, find y when x = 100 </em>

<em>if y= 15, when x=60, then there is a number m such that m*y= 60 </em>

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<em>so the equation is y=4x. in this cause, the b=0 </em>

<em>so when x=0, y=0 </em>

<em>The distance a car travels at a constant speed varies directly as the time the car spends traveling. If a car traveled 105 miles in 3 hours, how far could the car travel in 5 hours? </em>

<em>remember that distance = speed times time. </em>

<em>or d=Vt </em>

<em>so car goes 105 miles on 3 hours </em>

<em>how far it goes in one hour? </em>

<em>if you know that, then you can tell how far it goes in 5 hours.</em>

<em>Hope I made it non tough enough</em>

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