The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
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How do you find the Y-intercept in an equation?
How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? 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’.
How do you find the Y-intercept example?
When the equation of a line is written in slope-intercept form ( y=mx+b ), the y -intercept b can be read immediately from the equation. Example 1: The graph of y=34x−2 has its y -intercept at −2 . Similarly, for a quadratic equation written in standard form y=ax2+bx+c , the y -intercept is c .
How do you find the Y intercept with 2 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.
How do you find the Y intercept on a calculator?
Press the “Trace” button. Press the “0” button. This will move the cursor to the Y intercept where X = 0. Look at the bottom of your screen; the Y-intercept will be displayed there.
What is the Y intercept in the equation y =- 2x 5?
In the equation y = 2x – 5, the y- intercept, b, is –5. This means the line crosses the y-axis at –5.
What is the Y intercept of the function f x 2 9x 1 3?
1/3
Summary: The y-intercept of the function f(x) = -2/9x + 1/3 is 1/3.
What is the Y intercept of the line 4x 3y 15 0?
Step-by-step explanation:
So the y intercept is 5.
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 trace Y on a TI 84?
TI-84: Finding Graph Coordinates (Tracing)
- Press [Trace]. Then use the right and left arrow keys to move along the curve.
- Use the Up or Down arrow keys to switch functions. Then use the Right and Left arrow keys to trace.
- Alternatively, [2nd] [CALC] provides a menu of items. Choose “5: intersect”.
What is the y-intercept in the equation y =- 2x 4?
Answer: The slope of the curve is 2 and its y-intercept is 4.
What is the y-intercept of 7x 2y 14?
Explanation: y-intercept is the point on the graph of y against x where x = 0. Substituting x = 0 gives 2y = 14, y = 7.
What is the slope of y =- 9?
0
y=9 is the equation of a horizontal line. The slope is 0.
What is the Y-intercept of the function FX equals?
In mathematics, the y -intercept of a function, f(x) , is the y -value of the point where the graph of f(x) crosses the y -axis. This occurs where x=0 , so we can find the y -intercept of a function, f(x) , by plugging x=0 into the function, which is equivalent to calculating f(0) .
What is the slope of the line represented by the equation y equals 2 3 5x?
Using the slope-intercept form, the slope is −5 .
Which equation represents a line that passes through 9 3 and has a slope of 6?
Summary: The equation of a line that passes through (-9, -3) and has a slope of -6 is (y+3)=−6(x+9) ( y + 3 ) = − 6 ( x + 9 ) .
What is the y-intercept for the equation 4x 3y?
The y-intercept is –4. The graph of 4x – 3y = 12 is the line that crosses the x-axis at the point (3, 0) and the y-axis at the point (0, –4).
What is the slope of 4x 3y =- 15?
Hence, the slope is 4/3 and y-intercept is 5.
How do you find the slope of 5x 5y 7?
- The slope intercept form of the line is: y=mx+c, where m is the slope of the line and c is the y-intercept.
- Therefore, rewrite the given equation of line 5x−5y=7 as follows:
- −5y=−5x+7.
- 5y=5x−7.
- y=(55)x−(57)
What is the Y intercept of 2x 4y 12?
Using the slope-intercept form, the y-intercept is −3 .