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How do you find the standard form of a linear equation knowing only the y intercept and the slope IE A line has a slope of 5 over 3 and a y intercept of 1 over 2 State the equation in standard form?
Wiki User
∙ 15y ago
Since we know the slope, m = 5/3, and the y-intercept 1/2, we arw able to write the equation of the line in the slope-intercept form, y = mx + b, so we have y = (5/3)x + 1/2.
The standard form of the equation of the line is Ax + By = C.
y = (5/3)x + 1/2
y - y - 1/2 = (5/3)x - y + 1/2 - 1/2
-1/2 = (5/3)x - y or
(5/3)x - y = -1/2
Thus, the standard form, Ax + By = C, of the equation of the line is (5/3)x - y = -1/2.
Wiki User
∙ 15y ago
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Is the x intercept the same as the slope?
No. In a linear equation, y = mx + b, the slope is m, and the x intercept is where mx + b = 0.
How do you find the y intercept in slope intercept form?
Definition of slope intercept form:The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b. Other forms of linear equations are the standard form and the point-slope form.For example, if you have slope of 2 and points (4, 5) your equation will look like this:5=2x+bif x=4, you get 5=2(4)+bsolve for b: -3y=2x-3
If the slope of a line is 4 and the y intercept is negative 2 what is the linear equation in the slope intercept form?
slope intercept form is y=mx+b (m is slope, b is y intercept) slope = 4, y intercept = -2 y = 4x -2
What is the y-intercept for the linear equation 6x - y equals 9?
-3
How do you find the y-intercept of a linear relationship from a graph?
To find the y-intercept from a graph - look at where the graph of the line intersects the y-axis. The point at where the graph of the line crosses the y-axis will be the y-intercept with the coordinates of (0,y) The point at which the line cuts the y – axis is called as y – intercept.You can locate the point by seeing the graph.Note:If you are given a linear equation say ax + by + c = 0Now if we plug x = 0 in the given equation we will get the y – intercept.y = -c/bIf the given equation is of the form y = mx + bb is the y – intercept of the line. Source: www.icoachmath.com
How do you find the x and y intercepts of a linear equation in standard form?
The y-intercept is c in the standard form. The x-intercept is -c/m.
Is 2x equals 7 in standard form or slope-intercept form?
Standard. You need a linear equation in two variables for slope-intercept form.
What is the y-intercept of a linear equation?
The y-intercept of a linear equation is the point where the graph of the line represented by that equation crosses the y-axis.
Can linear equation not be rewritten in slope-intercept form?
A linear equation can be written in many different forms. Two forms are used frequently. ax+by=c is standard form as y=mx+b is slope intercept form.
How do you graph a linear equation slope intercept?
You can graph a linear equation slope intercept by solving the equation and plugging in the numbers : y=mx+b
What is an example of a linear equation?
The slope-intercept form of a linear equation is y = mx + b where m = slope and b = the y-intercept.
The formula y equals mx plus b is known as?
A linear equation in the slope intercept form or the standard form.
Linear equation in non-standard or slope-intercept form?
The slope intercept form is expressed as y = mx + c, where m is the slope and c is the y intercept.If you had a slope intercept linear equation such as y = -1/3x + 5Then this could be presented in a non standard form 3y = 15 - xEach format has its benefits and these will become apparent as your graph/coordinate work develops.
What is the x-intercept in this linear equation?
That must depend on the equation that has not been shown
How do you find the y-intercept of a linear relationship from an equation?
The y-intercept of a linear equation is the point on the y-axis at which the line cuts.It could be found by plugging x = 0 in the given linear equation.For example,Consider 3x + 2y = 6. To find the y-intercept just plug x = 0 in the equation.3(0) + 2y = 62y = 6y = 3(0, 3) is the y-intercept of the linear equation 2x + 3y = 6.Note:In the same way we can find the x-intercept by plugging y = 0 in the given linear equation.
What do you need to write a linear equation for a linear relationship?
A Y-intercept and the slope. The y-intercept is where the line crosses the Y axis.
How do you find the x intercept on a linear equation?
At the x-intercept on the graph of the equation, y=0. Take the equation, set 'y' equal to zero, and solve the equation for 'x'. The number you get is the x-intercept.
