Math Summative

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(0,y)

position 0

b = constant

you can write slope-intercept as standard form using algebra, and do it the other way around too

Analytic Geometry

rate of change

you would need the rate of change to determine the steepness of a line, or how slow or fast a line grows. You can also compare the changes of the x-values with the changes of the y-values.

Changes in y-values divided by the changes in the x-values to compare steepness

this is an example of rise/run. you divide the rise of a line by its run to get the slope.

y-intercept

you would need the y-intercept of a line or a graph to figure out if it's a partial variation, or a direct variation.

if the y-intercept = 0, it is a direct variation. if the y-intercept is NOT 0, it is a partial variation.

to find the y-intercept in a table of values, you can look at where x is 0. For example, on this table, the y-intercept is 1.

you can find the y-intercept by looking at a what point the line touches the y-axis; point (x,o) OR you can look at the equation of a line. For slope-intercept, y=mx +b, the "b" would be the y-intercept. For standard form, Ax+By+C=0, the "y" would be the y-intercept.

Linear Equations

Standard Form

Gives us the x-intercept and y-intercept quickly.

x-term first

y-term second

equals to 0

No fractions

Slope-Intercept

Gives the initial value

Graphs line quickly

Gives the rate of change

m = multiplier

(x,0)

Slope

Steepness of a line