What is the equation of the line whose x intercept is 2 and Y intercept is 3?

Slope = 2 and y – intercept = 3 , then the equation of line is y = mx + c .

How do you find the x and y-intercepts of a line that passes through points?

Approach:

1. Find the slope using the given points.
2. Put the value of the slope in the expression of the line i.e. y = mx + c.
3. Now find the value of c using the values of any of the given points in the equation y = mx + c.
4. To find the x-intercept, put y = 0 in y = mx + c.
5. To find the y-intercept, put x = 0 in y = mx + c.

What is the equation of the line with an X intercept of 3 and a y-intercept of 4?

2 Answers. Bill K. One quick way to do this is to use the fact that 3⋅4=12 to say an equation for this line is 4x+3y=12 (since, when y=0 , it follows that x=3 and when x=0 it follows that y=4 ).

What is the formula of the equation of the line given the two intercept of a line?

The equation of this line has been given in slope–intercept form, 𝑦 = 𝑚 𝑥 + 𝑏 , where 𝑚 represents the slope of the line and 𝑏 represents the 𝑦 -intercept. We recall that the two-intercept form of the equation of a straight line is 𝑥 𝑎 + 𝑦 𝑏 = 1 , where 𝑎 is the 𝑥 -intercept of the line and 𝑏 is the 𝑦 -intercept.

What is the equation of the line if the slope is 2 and the Y-intercept is 4?

The equation is y = mx + b. The x and y variables remain as letters, but m and b are replaced by numbers (ex: y = 2x + 4, slope = 2 and y-intercept = 4). The following video will show a few examples of understanding how to use the slope and intercept from an equation.

How do you find the x-intercept of a line?

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. For example, lets find the intercepts of the equation y = 3 x − 1 \displaystyle y=3x – 1 y=3x−1. To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

How do you find Y intercept when given two points?

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 equation of y intercept?

The formula for y-intercept is given by:b = y – mxWhere b is the y-intercept and m is the slope of the line. What is the equation of line with respect to x and y-intercepts? The equation of the line, when a line is intersecting the x-axis and y-axis at point a and b respectively is given by:x/a + y/b = 1.

What is inter intercept in maths?

Intercept in Maths (X & Y Intercepts, Formulas and Examples) The intercept of a line is the point at which it intersects the y-axis. Learn to find the equation of a line when the intercepts of the lines are given for both x-axis and y-axis at BYJU’S.

What is the difference between x-intercept and Y-interceptor?

The x-intercept is the point where the line cut the x-axis and the y-intercept of the line is a point where the line will cut the y-axis.

What is the intercept value of a line?

An intercept is a point on y-axis, through which the slope of the line passes. It is the value of y-axis, where the line is crossing the axis. This is represented when we write the equation for a line. There are basically two intercepts, x-intercept and y-intercept.