How do you find the x and y intercepts from standard form?

Using the standard form of an equation we can easily find the intercepts.

  1. To find the x-intercept, we set y=0 and solve for x.
  2. To find the y-intercept, we set x=0 and solve for y.

How do you find the y-intercept in an equation?

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.

What is the X intercept of 3x 2y =- 12?

The x-intercept is (4,0) . The y-intercept is (0,6) .

How do you graph x and y-intercepts?

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.

What is the formula for slope and y-intercept?

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

What is the slope of y =- 3x 12?

Algebra Examples Using the slope-intercept form, the slope is −3 .

How do you find the inverse of Y 3x 12?

Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x3−4 f – 1 ( x ) = x 3 – 4 is the inverse of f(x)=3x+12 f ( x ) = 3 x + 12 .

How do you convert slope intercept to standard form on a calculator?

Multiply each side by 2. Subtract x from each side. Multiply each side by -1. On the right side of the equation, we have the denominators 2 and 4….CONVERTING FROM SLOPE INTERCEPT TO STANDARD FORM.

Slope intercept form Standard form
y = mx + b ax + by = c

What is X Y on a graph?

The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis.

What is the formula for finding y intercept?

The y-intercept is the point at which a linear equation crosses the y-axis on the x=0 plot point. The equation to determine both the slope and the y-intercept of a line is y=mx+b.

How do you calculate x intercept?

The x-intercept is written as (x, 0), because the y-coordinate is always zero at the x-intercept. If you know the slope and the y-intercept of the function, you can calculate the x-intercept using the formula (y – b) / m = x, where m equals the slope, y equals zero, and b equals the y-intercept.

How do you solve y intercept?

Using an Equation Write down the equation of the line. If you already have the equation of the line, you can find the y-intercept with a little algebra. Substitute 0 for x. The y-axis is a vertical line along x = 0. Solve for y. The answer is the y-intercept of the line. Confirm by graphing (optional).

How do you identify x – intercept?

The places where lines representing a range of values cross these axes are called intercepts. The y-intercept is the place where the line crosses the y-axis and the x-intercept where the line crosses the x-axis. For simple problems, it is easy to find the x-intercept by looking at a graph.