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2 years ago

Write the equation of the line that passes through the point (4,-2) and has a slope of

Mathematics

2 answers:

Yuliya22 [10]2 years ago

5 0

The equation of a line is written as y = Mx + b where m is the slope and b is the y intercept.

Replace y and x with the given point and m with the given slope to solve for b:

-2 = -1/2(4) + b

Simplify:

-2 = -2 + b

Add 2 to both sides:

B =0

The equation becomes: y = -1/2x

arlik [135]2 years ago

4 0

Answer:

y=-1/2x

Step-by-step explanation:

y-(-2)=-1/2(x-4)

y+2=-1/2x+2

y=-1/2x

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Molly was on a long 136 mile road trip. The first part of the trip there was lots of traffic, she only averaged 16 mph. The seco

Mazyrski [523]

Answer:

In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

Explanation:

Given that the road trip was 136 miles;

$d=136$

The first part of the trip there was lots of traffic, she only averaged 16 mph;

$v_1=16$

The second part of the trip there was no traffic so she could drive 44 mph;

$v_2=44$

She traveled for a total of 5 hours;

$t=5$

let x represent the time in traffic when she traveled at 16 mph

$t_1=x$

the time the traffic is clear would be;

$t_2=t-t_1=5-x$

Recall that distance equals speed multiply by time;

$d=v_1t_1_{}_{}^{}+v_2t_2$

substituting the values;

$136=16x+44(5-x)$

solving for x;

$\begin{gathered} 136=16x+220-44x \\ 44x-16x=220-136 \\ 28x=84 \\ x=\frac{84}{28} \\ x=3 \end{gathered}$

So;

$\begin{gathered} t_1=3\text{ hours} \\ t_2=5-x=5-3=2 \\ t_2=2\text{ hours} \end{gathered}$

Therefore, In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

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11 months ago

Solve the inequality.-5 (x-1) > -40

Tresset [83]

Step-by-step explanation:

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5 0

2 years ago

Are the triangles similar? Justify your answer

cluponka [151]

Answer:

Yes

Step-by-step explanation:

If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.

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2 years ago

Given 2x – 4y= 4: Transform this equation into slope-intercept form

jeka57 [31]

Answer:

y=1/2x-1

Step-by-step explanation:

-4y=4-2x

4y=4-2x

y=-1+1/2x

y=1/2x-1

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2 years ago

They randomly survey 50 students about how much money they spend on lunch each day. What is the expected value for a student to

siniylev [52]

2$ for public 3-4$ for private

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2 years ago