• Asignatura: Matemáticas
  • Autor: saramelendezz
  • hace 8 años

How can you determine the slope and the y-intercept of a line from
a graph?

Respuestas

Respuesta dada por: gabrielaraboso21
3

Respuesta:

Explicación paso a paso:

1. Pick two points on the line. Draw the points on the graph to represent them and write their coordinates.

When you go to graph points, remember that the coordinate will be mentioned first

x {\ displaystyle x}

and then the coordinate

y {\ displaystyle y}

2. Determine what is the elevation between the two points. To do this, you must compare the difference in "and" of both points. Start at the first point, the leftmost point on the graph, and count up until you reach the coordinate

y {\ displaystyle y}

of the second point.

The elevation can be positive or negative. This means that you can count up or down to find it.  If the line moves up and to the right, it will be positive. If the line moves down and to the right, it will be negative.

3. Determine the offset between the two points. To do this, you must compare the difference in

x {\ displaystyle x}

from both points. Start with the first point, the one furthest to the left on the graph, and count to the coordinate

x {\ displaystyle x}

of the second point.

The displacement will always be positive; that is, you can only count from left to right and never from right to left

4.  establish a relationship using elevation over displacement to determine the slope. The slope is usually expressed as a fraction, but it can also be an integer.

 

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