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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).
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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
How would you turn 8x-5y equals -40 into slop intercept?
8x-5y = -40 -5y = -8x-40 y = 1.6x+8 which is now in slope intercept form
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
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 slop intercept for 6x 5y5?
If you mean: 6x+5y = 5 then it is y = -1.2x+1
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 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
