Slopes of lines Graphing Equation of Slope and Steepness Rate Parallel and Perpendicular

Graphing 1.You could make a table of points, plot the points and connect with a line, sub in x value and solve for the y value 2.If it is in the slope intercept form 1.Plot the y-intercept (b value) on the y axis 2.From y intercept do the slope, rise over run of the line

Graphing Continued Positive Sloping lines should go up from left to right If you are at the top of the page remember you could have both the rise and run be negative Key is do both rise and run the same Negative Sloping lines should go down from left to right You can do either the rise or the run negative, not both

Solve for y and graph Get y-variable by itself Move all terms without a y to the other side Divided everything by the coefficient of the y- term Write in order of y = mx +b

Slope If you have the graph of a line, you can connect two points on the line making a triangle to get the rise and the run of the line Steeper the slope the farther away from 1 it will be Shallower the slope the closer to zero it will be No slope or constant rate is a horizontal line Rate – when comparing two quantities, miles per hour Always have slope written in simplest fractional form, not mixed but simplified

Slope intercept form of a line M is the slope B is the y-intercept, where the line crosses the y- axis X and y represent all ordered pairs that make the equation true

Writing the equation of a line in Slope Intercept form 1.If given slope and y-intercept Sub in the values for m and b, sign of the intercept will be the operation 2.Given the slope and a point Sub in the value for m, x and y, and solve for the b value Sub in the values for m and b, sign of the intercept will be the operation 3. Given two points – line of best fit Find the slope, by using slope formula Sub in the value for m, x and y, and solve for the b value Sub in the values for m and b, sign of the intercept will be the operation

Intercepts Y-intercept – where line crosses the y axis To find it set x=0 and solve for y (0,y) X-intercept – where line crosses the x axis To find it set y=0 and solve for x (x,0)

Parallel and Perpendicular Lines Parallel lines – two lines that never intersect Slopes of the lines are exactly the same Have different y-intercepts If the y-int is the same then it would be the same line Perpendicular Lines – two lines that intersect and form a right angle Slopes are opposite reciprocals, one positive the other is negative, num and denom are flipped They can have the same y-int