SOLUTION: find the slope intercept form of the equation of the line that passs thought (-1,5)and is parallel to 4x+2y=8

Algebra.Com
Question 404753: find the slope intercept form of the equation of the line that passs thought (-1,5)and is parallel to 4x+2y=8
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

find the slope intercept form of the equation of the line that passes thought ()and is to
first find the slope of this line:
......write it in slope-intercept form...or solve for
.......both sides divide by

.........as you can see, slope is
since the line that passes thought () is to given line, should have slope
now, we have slope and point () and we can find the equation of the line that passes thought

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 (-1, 5)

  • it has a slope of -2



First, let's draw a diagram of the coordinate system with point (-1, 5) 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=-2, 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:





now, let see a graph with both lines on it:








RELATED QUESTIONS

find the slope intercept form of the equation of the line that passs thought (0,1)and is (answered by Fombitz,stanbon)
Determine the equation of the line, in slope-intercept form, that is parallel to 4X-2Y=-8 (answered by Fombitz)
Which equation is the slope-intercept form of the equation of the line that passes... (answered by ewatrrr)
Find an equation of the line that satisfies the conditions. Write the equation in... (answered by stanbon)
Find the equation of the line passing through the point P(2, - 1) and parallel to the... (answered by Alan3354,ikleyn)
find the equation in slope-intercept form of the line that passes through the point (-1, (answered by solver91311,ewatrrr,josmiceli)
Write in slope-intercept form the equation of the line that is parallel to the line y =... (answered by Fombitz)
Write in slope-intercept form the equation of a line that is parallel to the line... (answered by TimothyLamb)
Find the equation of the line that passes though (2,5) and is parallel to 4x-y=7. Write... (answered by mananth)