Best Answer

Y-intercept Form From the formula y = mx + b

The y-coordinate of a point on the line equals the product of the slope of the line and the corresponding x-coordinate plus the y-intercept (the vertical line that runs through the point).

y - b = mx

m = y-b/x

Coordinate Points

The slope of a line can be seen visually and computed from the change between coordinates: the distance along the Y-axis divided by the distance along the X-axis, also known as the "rise over run." You can find the slope by finding whole-number coordinates for points that the line passes through. For a straight line, the slope of any segment is the slope of the line as a whole.

The formula is m= Δy/Δx

or m = (y1 - y2) / (x1 - x2)

- Find the Y-difference between the two points by subtracting the second from the first.

- Find the X-difference between the two points by subtracting the second from the first.

- Divide the Y-change by the X-change (one or both may be negative)

The slope will be the Y-change divided by the X-change. It is a positive slope for an upward slanting line, and a negative slope for a downward slanting line, as seen moving from left to right.

Rise over Run

The process is the same, except that you subtract the leftmost, lower X value from the larger X value to create a positive "run" number. Then you subtract the Y value of the leftmost point from the Y value of the rightmost point, giving you a "rise" that may be positive or negative.

Examples:

1) Finding the slope for a line that runs through the points (2,1) and (5,7). Start at the leftmost point and move right until you reach the other point. In this case, you should move across 3 spaces. So 3 is your "run." At the same time you are moving right, the Y value increases from 1 to 7. This is 6 and is your "rise."

Divide the Y-change by the X-change, rise over run, to get 6/3 or a slope of +2.

2) Finding the slope for a line that runs through the points (2,1) and (4, -3). Start at the leftmost point and move right until you reach the other point. In this case, you should move across 2 spaces. So 2 is your "run." At the same time you are moving right, the Y value decreases from 1 to -3. This is a drop of 4, or a "rise" (fall) of -4.

Divide the Y-change by the X-change, rise over run, to get -4/2 or a slope of -2.

As above, an upward slanting line has a positive slope, and a downward slanting line has a negative slope.

Q: How do you find the slope on a line graph?

Write your answer...

Submit

Still have questions?

Continue Learning about Calculus

A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.

The steepness of a line graph is called the "gradient" ------------------------------- or slope.

5

It is a straight line through the origin with slope of 5. So start at (0,0) and go up 5 and over 1 to find the next point. Join those two points with a line and you can see the graph.

The slope is zero. Slope is rise over run, the rise is zero, so zero divided by anything is zero.

Related questions

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.

find the constant of variation and the slope of the given line from the graph of y=2.5x

"Slope" is the steepness of the line on any graph.

The graph of [ y = 4x + 2 ] is a straight line with a slope of 4.Any line with a slope of 4 is parallel to that one, and any line parallel to that one has a slope of 4.

it is impossible to tell the slope of a line graph without proper points to evaluate from.

The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.

The graph of the equationy = 2x + any numberis a straight line with a slope of 2.

the slope.

acceleration

A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.

A straight line graph with negative slope slants downward from left to right.

A vertical line on a graph has infinite slope and no y-intercept. Its equation is [ x = a number ]. The number is the line's x-intercept.