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chapter 13 mind map, `, ` - Coggle Diagram
chapter 13 mind map
concept 1:how to graph a line
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4 methods to graph a line
using a table of values
To find the corresponding y-values of the coordinate point, choose a few x values and plug them into the equation. plot the points on the graph. connect the points to draw the line: :
using y=mx+b
m is the slope and b is the y-intercept
to graph, plot the y intercept the use the slope to rise and run.
using two points
plot the two points
connect them to graph the line
using one point and a slope
plot the given point
use the slope formula to identify the rise and run, starting at the given point count out the rise and run to mark the second point.
connect the points with a line.
concept 2- how to find the slope of a line
there are 3 methods to use
using slope formula
standard form is another way to write slope intercept form.
identify the two points
select one to be (x1,y1) and the the other one to be (x2, y20
use the slope equation to calculate the slope.
from the equation of a line
y=mx+b
the value of m is called the slope of the line
it can be positive, negative or zero
using rise and run on a graph
run means how far left or right you move from point to point
you need to calculate the difference between the two points in the vertical direction and then divide it by the difference in the horizontal direction.
concept 4- how to write the equation of a line
its typically written as y=mx+b
m is the slope and b is the y intercept
determine the slope of the line
identify the y-intercept
write the equation of the line in slope-intercept,
concept 3- how to use y+mx+b
use the formula y=mx+b to determine the y-intercept
replace x and y in the formula with the coordinates of one of the given points and replace m with the calculated value
find the equation of the line whose graph contains the point
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