If you know two points on a line, you can use them to write the equation of the line in slope-intercept form. The first step will be to use the points to find the slope of the line. This will give you the value of m that you can plug into y = mx + b. The second step will be to find the y-intercept.

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Summary. The equation for slope-intercept form is: y=mx+b In this form, m is the slope of the line and the b is the y-intercept.

Answer: The y-intercept is (0, -37/7).

ANSWER: The equation in slope-intercept form is: y=(1/2)x+4.

Remember that “m” from y=mx+b is our slope. So, our slope of our equation is -4/5. Now, we know that our new equation passes through the point (-5,-1) and has a slope of -4/5. So, y= -4/5x -5 (Slope-Intercept Form).

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

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.

Find the slope from a graph

1. Locate two points on the line whose coordinates are integers.
2. Starting with the point on the left, sketch a right triangle, going from the first point to the second point.
3. Count the rise and the run on the legs of the triangle.
4. Take the ratio of rise to run to find the slope. m=riserun.

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

Slopes come in 4 different types: negative, positive, zero, and undefined. as x increases.

In our pizza example, a positive slope tells us that as the number of toppings we order (x) increases, the total cost of the pizza (y) also increases. For example, as the number of people that quit smoking (x) increases, the number of people contracting lung cancer (y) decreases.

Zero Slope and Graphing Just like in the bicycling example, a horizontal line goes with zero slope. One thing to be aware of when you graph, however, is that this horizontal line can be any height. For example, the picture you see here has three horizontal lines. In each case the slope is zero.

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be y = b, where the line’s slope is 0 (m = 0).

A zero slope is just the slope of a horizontal line! The y-coordinate never changes no matter what the x-coordinate is! In this tutorial, learn about the meaning of zero slope.

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Remove the parentheses around the expression 0,6 0 , 6 . The equation is not linear, so the slope does not exist.

1% as a decimal is 0.01 and hence the slope is 0.01. That means for a run of pipe of a certain length the rise must be 0.01 times the length. Thus for you example, since the length of the run is 80 feet which is 80 × 12 = 960 inches the rise must be 0.01 × 960 = 9.6 inches.

Yes, a linear function can have a slope of zero. In fact, all horizontal lines, or lines with the function y = b, where b is any constant, have a…

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

Visually, a line has negative slope if it goes down and right (or up and left). Mathematically, this means that as x increases, y decreases.

The concept of slope simply does not work for vertical lines. The slope of a vertical line does not exist! We can’t divide by zero, which is of course why this slope value is “undefined”. (By the way, all vertical lines are of the form “x = some number”, and “x = some number” means the line is vertical.

Note that when a line has a positive slope it rises up left to right. Note that when a line has a negative slope it falls left to right. Note that when a line is horizontal the slope is 0. Note that when the line is vertical the slope is undefined.

What is the equation of a vertical line passing through (−5, −2)? x = −5.