Using the “slope-intercept” form of the line’s equation (y = mx + b), you solve for b (which is the y-intercept you’re looking for). Substitute the known slope for m, and substitute the known point’s coordinates for x and y, respectively, in the slope-intercept equation.
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What is the Y value in an equation?
The variable x is the independent variable, and y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable. The following examples are linear equations.
What is the slope of Y?
The slope of a line is the change in y, y (read “delta y”), divided by the change in x, x (read “delta x”). That is, slope is , which is a rate of change. Stating the units for y and x will help clarify what the slope tells you about how the y-value changes from one x-value to the next.
How do you find Y with two points?
Steps
- Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11)
- Substitute the slope(m) in the slope-intercept form of the equation.
- Substitute either point into the equation. You can use either (3,5) or(6,11).
- Solve for b, which is the y-intercept of the line.
- Substitute b, into the equation.
What is Y =- 1 in slope-intercept form?
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is −1 .
How do you find the y-intercept with slope?
Using the “slope-intercept” form of the line’s equation (y = mx + b), you solve for b (which is the y-intercept you’re looking for). Substitute the known slope for m, and substitute the known point’s coordinates for x and y, respectively, in the slope-intercept equation. That will let you find b.
How do you find the y-intercept in standard form?
Using the standard form of an equation we can easily find the intercepts.
- To find the x-intercept, we set y=0 and solve for x.
- To find the y-intercept, we set x=0 and solve for y.
How do you get the equation of a line?
To find an equation of a line given the slope and a point.
- Identify the slope.
- Identify the point.
- Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
- Write the equation in slope-intercept form.
How do you find the value of y in a linear equation?
The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis.
How do you graph the equation y?
To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.
How do you solve for slope?
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
What is the y-intercept of the line 2x 3y?
y=2
The y-intercept is y=2 .
What is the slope of the line y =- 4?
zero
The slope of the line y = 4 is zero.
How do you find the y-intercept without graphing?
To find the x-intercept of a given linear equation, plug in 0 for ‘y‘ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’.
What is the y-intercept of 2x 4y 12?
Using the slope-intercept form, the y-intercept is −3 .
How do you find y MX B with two points?
Steps to find the equation of a line from two points:
- Find the slope using the slope formula.
- Use the slope and one of the points to solve for the y-intercept (b).
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
What is y mx b answer?
y = mx + b is the slope-intercept form of a staight line. In the equation y = mx + b for a straight line, m is called the slope of the line and b is the y-intercept of a line.
What is Y in algebra?
The vertical value in a pair of coordinates.The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value “5” is the Y Coordinate.
What is y math algebra?
y is a variable just like x is a variable. So what’s a variable, right? It’s a symbol we use when we don’t know how many we have of something or when the number of them can change. y + 5 means we add 5 to whatever we decide y stands for. It could be any number, so we’re just holding its place with the variable.