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Level 176

Write Linear Equations


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point slope form
where m is the slope and (x1, y1) is a point on the line
y - intercept
the y-coordinate of the point where the line crosses the y-axis
1 - Write ƒ(0) = 5 as (0, 5) and ƒ(4) = 17 as (4, 17)
Ex: Write an equation for the linear function ƒ with the values ƒ(0) = 5 and ƒ(4) = 17.
How to Write an Equation of a Line in Slope-Intercept Form
1 - Identify the slope m. You can use the slope formula if you know two points on the line.
standard form
can be used to find the x- and y-intercepts.
the slope and the y-intercept
What do you need to graph a line?
plug the slope and a point into y = mx + b
Write the equation of a line that passes through the point with the given slope
use the formula to find the slope
Write the equation of a line in slope intercept form that passes through two points
Converse
(noun) A statement that switches the hypothesis and conclusion
parallel lines
2 lines that never cross/intersect and stay the same distance apart
1 - Identify the slope (in this case = 3)
Write an equation of the line that passes through (-3, -5) and is parallel to the line y = 3x - 1
Perpendicular lines
lines in a plane that intersect to form 4 right angles
To determine whether lines are parallel or perpendicular
write all equations in slope-intercept form ( y = mx + b)
Scatter plot
is a graph used to determine whether there is a relationship between paired data. Scatter plots can show trends in data.
positive correlation
y tends to increase, as x increases
negative correlation
y tends to decrease, as x increases
Relatively No Correlation
x and y have no apparent relationship
line of best fit
The line that most closely follows a trend in data is called the best-fitting line.
Linear Regression
the process of finding the best-fitting line to model a set of data; you can use technology to do this
Linear Interpolation
using a line or its equation to approximate a value between two known values
Interpolate Using an Equation
1 - Make a scatter plot of the data
Linear Extrapolation
using a line or its equation to approximate a value outside the range of known values
Zeros of a Function
for the function ƒ, any number x such that ƒ(x) = 0