How is slope-intercept form converted to point-slope form?

The point, slope formula states that the equation for a line containing the point (x0, y0) and slope m, is given by (y - y0)/(x - x0) = m.If we have the point slope version of the line, we know thaty = mx + b, where m is the slope the line passes through the point (0, b). But that means the we know the slope and a point, so we can write(y - b) / (x - 0) = m. Simple algebra shows that this is the same equation as y = mx + b

How can you convert a formula from point slope form to slope intercept form?

Point-Slope Form: (y - y1) = m(x-x1) - the 1 just being one x coordinate and one y coordinate.Slope-Intercept Form: y = mx + b.If the given point was, say, (4, 7), and the slope was 4, you would put it into the equation.y - 7 = 4(x - 4)y = 4(x-4) + 7y = 4x - 16 + 7y = 4x -9 - Which is Slope Intercept Form.

How can you go from slope intercept to standard form?

Slope Intercept: y= mx + bStandard form: Ax + By = CIn slope intercept form y is isolated. In standard form x and y are on the same side, but the coefficients, A and B must be integers.Start with y = mx + b and Subtract mx from both sides:-mx + y = b Multiply by any denominator in m, also it is preferred to have the coefficient of x as positive.Example: y = 2/3 x + 5subtract 2/3 x from both sides: (-2/3)x + y = 5Multiply everything by (-3): 2x - 3y = -15

How do I write this in slope intercept form?

Slope-intercept form is y = mx + by = 4(x - 3) - 4. Remove ( )'s.y = 4x - 12 - 4 Simplify. y = 4x - 16 ANSWER

In real life, how is the slope-intercept form used?

There are so many ways this can be used in real life. I actually asked my math teach this when he was teaching it to us a while back. I didn’t realize how present it really is.Have you ever been to an amusement or theme park? If you have then you have encountered the slope intercept. I’ll explain:You pay a fee to get into the park, let’s say it’s $20. On top of this $20 you might have to pay an extra $5–10 for riding certain rides. That is where the slope kicks in. Let’s say you go on a ride that is $7 per ride. The equation (y=mx+b) would then be y=7x+20. The slope is of the line would be 7.That is just one of the many examples of the slope intercept being used in real life. Another scenario includes; a job where you get paid an hourly rate with commission on selling x amount of cars or computers or whatever.Hope you can understand that.Happy calculating!

How can I convert a standard form to a slope intercept?

If the form of the equation is in the form ax+by+c=0Keep the y term (namely) by in the left hand side and bring the otherterms to the right hand side as by= -ax-cDivide by the coefficient of y (if it has) on bothsideswe get y= -ax/y-c/y which is the slope intercept form

Through (-5,-5) parallel to y=-5, how do you write the slope intercept form?

To start, let’s look at the general setup of equations in slope-intercept form.(y-y1)=m(x-x1), with m being the slope, and x1 and y1 being the coordinates of the given point on the graph. Now, all you have to do is plug in the information where it belongs.The y coordinate replacing y1, the x coordinate replacing x1, and the slope replacing m.The equation of the line is y= -5, meaning the slope is zero. So for m, you would plug in zero.Equation: y-(-5)=0(x-(-5)y+5=0(x+5)Final: y+5=0

How do I find the equation in the slope - intercept form with slope m =9 and y-intercept b = -5?

The equation for slope-intercept form is [math]y = mx = + b[/math]where [math]x[/math]and [math]y[/math]are the variables, [math]m[/math]is the slope, and [math]b[/math]is the y-intercept.If [math]m = 9[/math] and [math]b = - 5[/math]then the equation in slope intercept form would be: [math]y = 9x + left( { - 5} right)[/math] [math]y = 9x - 5[/math]Here Slope intercept form: y = mx + b are some example of how you deal with slope-intercept form. I think it will be worth while to take a look.

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There's a lot of different ways that you can represent a linear equation so for example if you had the linear equation y is equal to 2x plus 3 that's one way to represent it, but I can represent this in an infinite number of ways I could let's see I could subtract 2x from both sides I could write this as negative 2x plus y is equal to 3 I could manipulate it in ways where I get it to, and I'm not going to do it right now but this is another way of writing that same thing Y minus 5 is equal to 2 times X minus 1 you could actually simplify this, and you could get either this equation here or that equation up on top these are all equivalent you can get from one to the other with logical algebraic operations, so there's an infinite way to there's an infinite number of ways to represent a given linear equation but what I want to focus on in this video is this representation in particular because this one is a very useful representation of a linear equation, and we'll see in future videos th

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