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The standard form of the equation of a line is written as: Ax + By = C, where A, B, and C are real numbers, and A and B are not both 0.
When we want to graph an equation that is written in general form, we can solve the equation for y and write the equation in slope-intercept form.
Example: Transform the equation 2x + 4y = 8 into its slope-intercept form, and graph the equation.
Solution:
2x + 4y = 8 subtract 2x to both sides;
4y = - 2x + 8 divide by 4 to both sides;
y = - (1/2)x + 2 This is the slope-intercept form (y = mx + b) of the equation 2x + 4y = 8.
The coefficient of x, -(1/2), is the slope, and the y-intercept is 2. Now we are able to graph the line using the fact that the y-intercept is 2, and the slope is -(1/2).
Start at the point (0, 2), go to the right 2 units and then down 1 unit (since the slope is -(1/2))to the point (2, 1). Then draw the line that passes through the points (0, 2) and (2, 1).
What else can I help you with?
How do you write the equation of a line in slop-intercept form?
y = mx + b where m is the slope and b is the y-intercept
What is the adjective form of slop?
Well its not slop, but slope and its adjective form is sloppy.
What is the slope of line 4x-5y equals 0?
4x - 5y = 0 standard form of slope intercept line equation is y = mx + c m = slop and c = intercept rewrite the 4x - 5y = 0 in standard form y = 4/3 x compare it with standard form, and slope = 4/5
How does the y-intercept of the line y x-3 affect the graph?
the y intercept is -3 so the y axis at (0,-3) hope that helps and the slop is 1 so the graph will start at (0,-3) and go up one and to the right one and keep going
What is the slop-intercept of -6x equals 2y-120?
-6x = 2y - 120 -2y -2y -2y - 6x = -120 +6x +6x -2y = 6x - 120 -2y/-2 = 6x/-2 - 120/-2 y = -3x + 60
How do you write the equation of a line in slop-intercept form?
y = mx + b where m is the slope and b is the y-intercept
In the slop intercept equation of a line which quantity is given by the constant term?
It is the intercept.
What does the b stand for in the slop intercept form?
It stands for the y-intercept. where it crosses the y axis ... this might help http://id.mind.net/~zona/mmts/functionInstitute/linearFunctions/lsif.html
Which statement best describes a line in slop-intercept form when the coefficient of the x-term is positive?
The line will be going 'uphill' from left to right
What is 7y-210 in slop intercept form?
217
Write each equation in slop-intercept form Then identify the slope and the y-intercept for each line 2x - y equals 12?
-10
Can vertical line be written in slop intercept form?
No, a vertical line cannot be written in slope-intercept form, which is expressed as (y = mx + b), where (m) is the slope. Vertical lines have an undefined slope because they run parallel to the y-axis, meaning they do not change in the x-direction. Instead, a vertical line can be represented by the equation (x = k), where (k) is a constant.
What is the equation of the line whose intercept is 3 and slop is 1?
It is: y = x+3 whereas 1 is the slope and 3 is the y intercept
What is the adjective form of slop?
Well its not slop, but slope and its adjective form is sloppy.
What is the slope intercept equation of a line that has a slope of -2 and a y intercept of 3?
slop intercept form is y=mx+b where m is the slope. We have to find b. To do so we have to evaluate the problem. We see that the y-intercept is 3 which means the coordinate pair (x,y)=(0,3). Plug (0,3) into the question. it should like this 3=m(0)+b. now solve. anything times 0 is 0 so the equation is now 3=b. now we have m, which is -2 and b which is 3. plug it into the equation and the slop intercpet form is y=-2x+3 =D
What is the slop intercept for 6x 5y5?
'Slop' you are being very 'sloppy' with your English spelling. The word is 'Slope'. Note the mute 'e'. 6x + 5y = 5 To find the slope/intercept we algebraically rearrange. The general slope/intercept equation is of the form ' y = mx + c '. Where 'm' is the slope, and 'c' in the intercept on the y-axis'. Hence 6x + 5y = 5 => 5y = -6x + 5 (Note the change of sign to (-). y = (-6/5)x + 5/5 y = (-6/5)x + 1 So the slope is ' -6/5' or ' -1 1/5 ' or '1.2'. The intercept on the y-axis is y = 1.
What is the slop and intercept of x y -9?
If you mean: x+y = -9 then y = -x-9 whereas the slope is -1 and the y intercept is -9
