Question: What Is The Equation Of A Straight Line?

How do I find the slope of the line?

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 are the three equations of a line?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

What does the equation of a straight line mean?

Definition of the equation of a straight line: The equation of a straight line is the common relation between the x-coordinate and y-coordinate of any point on the line. Note: The coordinates of any point on the straight line satisfy the equation of the line. Let the equation of a straight line y = 5x – 2.

How do you find the equation of a line?

Given the graph of a line, you can determine the equation in two ways, using slope-intercept form, y=mx+b y = m x + b , or point-slope form, y−y1= m(x−x1) y − y 1 = m ( x − x 1 ) . The slope and one point on the line is all that is needed to write the equation of a line.

What does the equation of the line mean?

Definition: A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.

How do you graph a line from an equation?

To graph the equation of a line written in slope-intercept (y=mx+b) form, start by plotting the y-intercept, which is the b value. The y-intercept is where the line will cross the y-axis, so count up or down on the y-axis the number of units indicated by the b value.

What is the equation of the blue line?

The blue line is the translate in the direction of the red line by , and therefore has equation y = 3 ( x − 4 ) + 5 or y = 3 x − 7 .

How do you find the Y intercept in an equation?

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

What is the equation of a graph?

where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis. To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation.

Why is the graph a straight line?

3. Interpret the equation y=mx+b y = m x + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. … So the graph is like a staircase. It always goes up in steps of the same size, so it’s a straight line.

What does the M stand for in Y MX B?

slopeIn the equation y = mx + b for a straight line, the number m is called the slope of the line. Definition 2. In the equation y = mx + b for a straight line, the. number b is called the y-intercept of the line.