9.3.+Equation+of+the+Line

Exercise 57.


1) First you need to know that since it is a vertical line that it is going to be in a straight line. 2) The two points that you have are (-2,5). The vertical line in those set of points is -2 3) So next you need to plug in that number into the equation y=mx + b, 2 goes into the spot of the m since it is the point 4) So your final answer will be y= -2

Exercise 58.
Standard Form Ax+By=C Slop-intercept equation y=mx+b We have 7y-4x=21 that is standard form, we must change standard form to slop intercept equation, so we changing sides to get y on left side by itself. 7y=4x+21, when we are ganging side of number we must change sine. if on the left side was -4x we get on the right side +4x. Divide everything by 7. 7y=4x+21/7 so we get : y=4x/7 + 3. m = 4x/7 which mean 4 up, 7 over, b=3

Exercise 61.
the first thing you need to know is what is the slope of the horizontal line ?and what is the equation that i will use to solve it. because is a horizontal line the slope is 0 and and we use the y=mx+b y=mx+b y=0x+(-4)since any number multiply by 0 is 0 than y=-4

Exercise 62.
First, ask yourself, W hat is the s lope intercept form? W hich is Y=Mx+B where, M=slope and B= y intercept. Second, lets solve... so we want to get all the X's and Y's on a side by them sel ves where it would look like the slop e equation y =Mx+B 3x-6 y =48 Let ' s subtract 3x to both sides to have 6y by itself. -3x -3x = -6y=-3x+48 -/6 - /6 -/6 Let ' s get y by itself, so we would divide -6 to all the numbers in the equation. we are left with Y= -3x+48 /-6 /-6 Answer is y = 1x-8 /2 Can you tell me which is the slope and //y//-Intercept by looking at the slope intercept form? M=1/2 y -intercept= -8 Posted By Da Boss.

English feedback by Johny Polo

Exercise 63.
__**First Step: lets use our slope intercept form**__ y = mx+b

__**Second Step: lets plug in and use our given values**__

point (-3,4) slope -2/3 y = mx + b 4 = -2/3 + -3

// *note: m= slope, b= y-intercept* //

__**Third Step: lets solve our equation**__

4 = -2/3 ( -3) + b

// -3 is a whole number we must convert it into a fraction by putting it over 1 //

4 = -2/3 (-3/1) + b

__** Fourth Step: solve for b **__

4= 6/3 + b

// reduce if possible 6/3 = 2/1 or 2 // // *note: anything over 1 equals a whole number* //

4 = 2 + b


 * __Fifth Step: solve by using opposite operation__ **

4 = 2 + b -2 -2 + b

2 = b

__ **Final Step: plug in your answer using the slope intercept form** __

y = mx + b

y = -2/3 + 2

FINAL ANSWER IS: y = -2/3 + 2


 * // Your graph should look like this //
 * // Notice how the line passes through our y-intercept which is positive 2, and given points (-3,4). //
 * // If you're still not sure check your answer by using our slope which is -2/3 (let 2 be the rise and 3 the run) //
 * // Start from the given point and move three spaces to the left and two spaces down since we have a negative slope //



-ibet arana

Exercise 64.
So first you have to simplify this to standard form by getting a single Y on one side. - 10x - 5y = 20 *Add 10x to each side - 5y = 20 +10x *Divide each side by -5 y = - 4 - 2x y = -2x -4 *The -2 represents the slope, so for every 2 units it goes down, it moves to the right one unit *The -4 represents the y-intercept (or where it crosses the y-axis)

Exercise 65.




The first thing you had to do was make the equation into y=mx+b form. To do this you get the y variable by itself by subtracting 5x from both sides and then dividing by 3. After you do that you get y=-5/3x+5. After that you make a a graph. You start by graphing the y-intersection which you know because of the equation is (0,5). From there you use the slope to figure out where the rest of your points are by moving down 5 points and to the right 3 points. Once you understand how to do the problem it is not that difficult.