Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.
How do you graph using slope and y-intercept?
Steps for graphing an equation using the slope and y-intercept:
- Find the y-intercept = b of the equation y = mx + b.
- Plot the y-intercept. The point will be (0, b).
- Find the slope=m of the equation y = mx + b.
- Make a single step, using the rise and run from the slope.
- Connect those two points with your line.
What is the standard form of the line with x intercept of 6 and Y intercept of 2?
2 Answers By Expert Tutors If the y intercept is 2 our line will have an equation of the form y=Ax+2. Since we need the x intercept to be 6 we have that 0=6A+2 or A=-1/3. Thus, the equation is y=-(1/3)x+2.
How do you graph using slope and y intercept?
How will you differentiate x-intercept and y intercept of a graph of linear equation?
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
How do you graph a standard form equation?
You’ve learned one way to graph a standard form equation – by converting it to slope intercept form. Click here to review this lesson. There is another way to graph standard form equations, and that is to find the x and y intercepts.
How to graph the equation of the line using its intercepts?
Example 2: Graph the equation of the line using its intercepts. This equation of the line is in the Slope-Intercept Form. We can actually graph this using another technique which uses the slope and the y-intercept taken directly from the equation.
What is the Y-value of the x-intercept?
Since the x-intercept is a point where the line crosses the x-axis, it is a point with a y-value of zero. In the same manner, since the y-intercept is a point where the line crosses the y-axis, it must be a point with an x-value of zero.
Why do we use standard form for intercepts?
But standard form is nice if we’re trying to find intercepts because it makes it easy to substitute in 0 and solve for the remaining value.
