SOLUTION: write an equation for slope=0 and passes through (4,6)

Algebra.Com
Question 473192: write an equation for slope=0 and passes through (4,6)
Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: FIND a line by slope and one point

What we know about the line whose equation we are trying to find out:

  • it goes through point (4, 6)

  • it has a slope of 0



First, let's draw a diagram of the coordinate system with point (4, 6) plotted with a little blue dot:



Write this down: the formula for the equation, given point and intercept a, is

(see a paragraph below explaining why this formula is correct)

Given that a=0, and , we have the equation of the line:



Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (, ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: .

Here's the graph:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

write an equation for slope=0 and passes through (4,6)

 y = 6



 

RELATED QUESTIONS


Write an equation in slope-intercept form for the line that passes through the points (6,  (answered by Alan3354,ikleyn)

How do I write an equation for a line whose slope is undefined and passes through (6,... (answered by Mathtut)

Write the slope-intercept equation for the line that passes through (-4, 6) and (2,... (answered by oberobic)

 Write the slope-intercept equation for the line that passes through (-4, -3) and (-6,... (answered by John10)

Write the slope-intercept equation for the line that passes through (-4, -3) and (-6, 7).  (answered by jim_thompson5910)

Write an equation for the line that has a slope 3/4 and passes through... (answered by John10)

Write an equation in slope-intercept form for the line that has a slope of 2 and passes... (answered by ewatrrr)

A line passes through the point (-8,-6) and has a slope of -5/4. Write an equation in... (answered by Alan3354)

Write an equation of the line that passes through the point and has the specified slope.   (answered by funmath)