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sineoko [7]
3 years ago
11

What is the slope of the line whose equation is y−4=5/2(x−2)?

Mathematics
2 answers:
postnew [5]3 years ago
7 0

Answer:

m=\dfrac{5}{2}

Step-by-step explanation:

If the equation of the line is

y=mx+b,

then m represents the slope of the line and b represents the y-intercept of the line. This equation is called the equation of the line in the slope form.

Rewrite the equation of the line in the slope form

y-4=\dfrac{5}{2}(x-2)\\ \\y-4=\dfrac{5}{2}x-\dfrac{5}{2}\cdot 2\\ \\y-4=\dfrac{5}{2}x-5\\ \\y=\dfrac{5}{2}x-1

Thus, the slope of the line is

m=\dfrac{5}{2}

Debora [2.8K]3 years ago
6 0

The slope of a line whose equation is y-4 = \frac{5}{2}(x-2) is \frac{5}{2}

<h2>Further Explanation</h2><h3>Slope/gradient</h3>
  • Slope or the gradient of a line refers to the change along the y-axis divided by the change along the x-axis.
  • The slope of the line can be calculated from two co-ordinates of the line in question or obtained from the equation of a line
<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 slope or gradient of the line while c is the y-intercept.
<h3>Equation of a straight line can be found when given:</h3>
  1. A slope of the line and one point where the line is passing through  
  2. Two points where the line is passing through
  3. A slope of the line and the y-intercept  

In this case;

The equation in question is;

y-4 = \frac{5}{2}(x-2)

Combining like terms;

y= \frac{5}{2}x-5+4

The equation of the line is

y= \frac{5}{2}x-1

From the equation the slope of the line is \frac{5}{2}, while

The y-intercept is -1

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

<h3>Learn more about:  </h3>
  • Equations of a straight line: brainly.com/question/4932386
  • Slope of a straight line: brainly.com/question/4932386
  • Double intercept: brainly.com/question/4932386

Level: High school  

Subject: Mathematics  

Topic: Equation of a straight line  

Sub-topic: Slope/gradient of a line

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