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They are all lines. Their equations are written in the slope-intercept form, where we clearly can see if they just intersect, or are perpendicular to each other, or parallel, or coincide.

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Q: What do graphs of all equations in the form y equals mx plus b have in common?
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How do you solve a system of equations by graphing?

Write each equations in popular form. ... Make the coefficients of one variable opposites. ... Add the equations ensuing from Step two to remove one variable. Solve for the last variable. Substitute the answer from Step four into one of the unique equations.


Y equals x plus 3 and 3x-y equals 5?

Solve this simultaneous equation using the elimination method after rearraging these equations in the form of: 3x-y = 5 -x+y = 3 Add both equations together: 2x = 8 => x = 4 Substitute the value of x into the original equations to find the value of y: So: x = 4 and y = 7


A feature that is common to all exponential functions of the form F of x equals bx is that they have a common horizontal asymptote at the negative axis?

x axis


5x - 4y equals 14 7x - 4y equals 26?

First rearrange these simultaneous equations in the form of: 7x-4y = 26 5x-4y = 14 Subtract the bottom equation from the top equation remembering that a - - is equal to a plus. So, -4y - - 4y = 0 2x = 12 and therefore it follows that x = 6 Substitute the value of x into the original equations to find the value of y: Therefore: x = 6 and y = 4


Are the two equations -6 plus y equals 2x and 2y-4x equals 12 dependent?

In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).

Related questions

Determine whether the graphs of the equations are parallelperpendicular or neither?

Base on the slope of two linear equations (form: y = mx+b, where slope is m): - If slopes are equal, the 2 graphs are parallel - If the product of two slopes equals to -1, the 2 graphs are perpendicular. If none of the above, then the 2 graphs are neither parallel nor perpendicular.


How can you tell linear equations are parallel?

Equations are never parallel, but their graphs may be. -- Write both equations in "standard" form [ y = mx + b ] -- The graphs of the two equations are parallel if 'm' is the same number in both of them.


If two linear equations are in standard form how can you tell that the graphs are parellel?

If the slopes are the same on both graphs, they are parallel, and will never touch.


How do you solve a system of equations by graphing?

Write each equations in popular form. ... Make the coefficients of one variable opposites. ... Add the equations ensuing from Step two to remove one variable. Solve for the last variable. Substitute the answer from Step four into one of the unique equations.


What point do all the graphs of the form y equals ax where a equals 0 have in common?

If y = ax and a = 0, then y=0. No matter what x is, y is still 0. Therefore any graph of y=ax (where a=0) will simply be a line at y=0, which is the x-axis.


How are bar graphs and picture graphs alike?

Both bar graphs and picture graphs show statistics (data) in a visual (graphic) form.


Write an equation in slope intercept form for the line perpendicular to y equals 2x plus 3 and with a y intercept of 5?

perpendicular to y = 2x + 3, y-intercept is 5.the answer is y = -½x + 5if you are still confused, i want you to follow the link below. it's a math help vedio that explain the concept clearly.http://www.brightstorm.com/d/math/s/algebra/u/linear-equations-and-their-graphs/t/writing-equations-in-slope-intercept-form


Is y equals -4x plus 1 perpendicular?

It is perpendicular to a family of other linear equations: of the form 4y = x + c


What is the equation in slope intercept form of the line that has a slope of 5 and y intercept of -3?

8


What do balanced and unbalanced chemical equations share in common?

Balanced and unbalanced chemical equations have the same elements on both sides, they have just been recombinded to form new products from the reactants.


One quarter plus one half equals?

Getting a common denominator will help immensely in fractional equations, 1/2 = 2/4, so 2/4 + 1/4 = 3/4 which in word form is three fourths.


Where the given equations are not linear?

Equations are not linear when they are quadratic equations which are graphed in the form of a parabola