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kipiarov [429]
2 years ago
6

What is the equation of the line that passes through the point (5,4) and has a slope of 2

Mathematics
2 answers:
Elodia [21]2 years ago
6 0

Hello,

y =  ax + b

We know the slope is 2 so :

y = 2x + b

The equation of the line that passes through the point (5,4) so :

4 = 2  \times 5 + b

4 = 10 + b

b = 4 - 10

b =  - 6

The equation of the line that passes through the point (5,4) and has a slope of 2 is :

y = 2x - 6

balandron [24]2 years ago
5 0
<h3>Answer:</h3>

y = 2x - 6

<h3>Step-by-step explanation:</h3>

Most lines are written in slope-intercept form, but we can use slope-point form in situations like this.

Slope-Point Form

The formula for slope-point form is y-y_{1}=m\left(x-x_{1}\right). So, we can plug in the information we have, the point and slope.

  • y - 4 = 2(x - 5)

This is an equation for the line given to us. However, this form can be simplified further.

Slope-Intercept Form

Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept. To find the most simplified form of the equation we need to use the properties of equality.

First, distribute the 2

  • y - 4 = 2x - 10

Next, add 4 to both sides

  • y = 2x - 6

Now, we have the equation for the line in slope-intercept form. Both of the equations technically meet the requirements for the question, but slope-intercept is more common to use.

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