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oksano4ka [1.4K]
3 years ago
13

If you know that a line has a slope of 2/3 and a y-intercept of 7, what is the equation for that line in slope-intercept form?

Mathematics
1 answer:
valkas [14]3 years ago
3 0

the equation for a line is y = mx+b

 m = slope

b = y intercept

 you know the slope is 2/3 and the y intercept is 7 so just replace them in the equation:

 y =2/3x +7

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A store sells bread and milk. On Tuesday, 3 loaves of bread and 2 litres of milk were sold for €6.25. On Thursday
chubhunter [2.5K]

Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.

Step-by-step explanation:

  • Step 1: Find equation for Thursday's sales.

Given b = price of a loaf of bread and m = price of one liter of milk

Total sales = €10.90

Equation ⇒ 4b + 5m = €10.90

  • Step 2: Find the values of b and m.

3b + 2m = 6.25 ----- (1)

4b + 5m = 10.90 ---- (2)

Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.

15b + 10m = 31.25

8b + 10m = 21.8

Subtract eq(2) from eq(1)

⇒ 7b = 9.45

⇒ b = 9.45/7 = €1.35

Substitute for b and find m using eq(1).

⇒ 3 × 1.35 + 2m = 6.25

⇒ 4.05 + 2m = 6.25

⇒ 2m = 2.2

∴∴ m = 2.2/2 = €1.1

8 0
3 years ago
Presbycusis is the gradual hearing loss that occurs as a person ages. An estimated one-quarter of Americans between the ages of
svetlana [45]

Answer:

The answer is the "Null hypothesis and Alternative hypothesis".

Step-by-step explanation:

The null hypothesis is almost like a hypothesis test, which indicates the certain demographic characteristics which aren't varied.

The alternative presumption will be that the hypothesis besides making predictions is opposite to the void assumption. Its posts are generally taken as a result of a meaningful effect.

Difference:

The null hypothesis is indeed a gross generalization, which specifies there is no relation between different phenomenons under evaluation. There is no association between the two groups. An alternate solution hypothesis is a statement, that defines there is a relation between different chosen variables in this study.

3 0
3 years ago
Write the equation of the line that passes through the points (-9, -8) and (–6,6).
sveta [45]

Answer:

Slope - intercept form    y = \frac{14}{3} x  + 34

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are ( -9 ,-8 ) and (-6,6)

slope of given two points

    m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}

The equation of the straight line passing through the points and having slope

          y - y_{1} = m ( x - x_{1} )

        y - (-8) = \frac{14}{3}  ( x - (-9) )

          3 y + 2 4 = 14 x + 126

           3 y = 14 x + 126 - 24

          3 y = 14 x + 102

            y = \frac{14}{3} + \frac{102}{3}

           y = \frac{14}{3} x  + 34

Slope - intercept form  y= mx +C

Slope - intercept form    y = \frac{14}{3} x  + 34

6 0
2 years ago
Select all angles that MUST be supplementary to 9
erastova [34]

Answer:

Angles supplementary to angle 9 = Angle <u>10</u>, <u>7</u>, <u>5</u>, <u>1</u>, <u>4</u>, <u>3</u>, <u>15</u>, <u>12</u>, <u>24</u>, <u>22</u>, <u>20</u>, <u>19</u>, and angle <u>16</u>.

Step-by-step explanation:

Use the vertical, and corresponding angles theorem to find congruent angles.

Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.

Something is supplementary if it adds to 180 degrees.

The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.

The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.

6 0
3 years ago
Find the reference angle for 697 degrees
ella [17]
The answer is c. 23 degrees. 697-360 is 337. 360-337 is 23. 
4 0
3 years ago
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