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mrs_skeptik [129]
3 years ago
9

Write an equation for the line, given that m=3 and the y-intercept is (0,2)

Mathematics
2 answers:
inn [45]3 years ago
6 0

Answer:

The equation of required line is y=3x+2.

Step-by-step explanation:

The slope intercept form of a line is

y=mx+b            ..... (1)

where, m is slope and b is y-intercept.

We need to find the equation of line whose slope is m=3 and the y-intercept is (0,2).

Substitute m=3 and b=2 in equation (1), to find the equation of required line.

y=(3)x+(2)

y=3x+2

Therefore the equation of required line is y=3x+2.

bija089 [108]3 years ago
4 0

The equation for the line hose gradient/slope is 3 and a y-intercept of (0, 2) is y = 3x + 2

<h2>Further Explanation </h2><h3>Equation of a straight line  </h3>
  • Equation of a straight line is written in the form y=mx+ c, where m and c are numbers. m is the gradient of the line while c is the y-intercept.

Equation of a straight line can be found when given:

  • A slope of the line and one point where the line is passing through  
  • Two points where the line is passing through
  • A slope of the line and the y-intercept  
<h3>Double intercept  </h3>
  • When an equation of a straight is written in the form of x/a + y/b = 1
  • Where a is the x-intercept and b is the y-intercept  

<h3>In this case; </h3>

The equation of the straight line with gradient m, passing through a point (x1,y1) is  

y-y1 = m(x-x1)

We are given the y-intercept as (0, 2) and the slope is 3  

Therefore;  

To get the equation, we take another point (x,y)  

(y-2)/(x-0) = 3

y-2 = 3x  

y= 3x + 2

Keywords: Equation of a straight line, y-intercept,  

<h3>Learn more about:  </h3>
  • Equations of a straight line: brainly.com/question/11828095
  • Slope of a straight line: brainly.com/question/13060178  

Level: High school  

Subject: Mathematics  

Topic: Equation of a straight line  

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Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

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6 0
2 years ago
What number is 100 times as great as 0.3
Nataly [62]
30 because 0.3 * 100 = 30
8 0
3 years ago
Someone help plz plz plz
prisoha [69]

Answer:I think it's 3 7.75/20 hours

Step-by-step explanation:

Multiply 2/15 by 20 (2x20 and 15x20)

Then 13/20 by 15 (13x15 and 20x15)

Subtract (195/300 - 40/300)

And you get 155/300

Then divide by 20 because dividing by 15 gives you 10.333333

So divide 155/300 by 20 (155÷20 and 300÷20)

And you get 7.75/20

Finally subtract the 2 hours from 5 hours and get 3 hours

Your answer is 3 7.75 hours

5 0
4 years ago
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