Finding Slope of a Line
Is (1,4) a solution to the equation y = x + 3?
Support why or why not
yes because 4 =4 or it satisfies the equation
What form of equations do we use for lines?
y = mx + b or slope intercept form.
Which line is the steepest?
y = 5x - 8
2y = 12x + 5
y = - 6x + 1
y = - 6x + 1
Write an equation of a line with a y-intercept of -5 and a slope of -3/4.
y = - 3/4x - 5
Name two ways to describe slope.
Possible answers: rate of change, rise over run, change in y over change in x, steepness of a line
Find the slope and y-intercept and then explain how to graph this line. y = 1/3x + 4
The slope is 1/3 and the y-intercept is 4. You graph by plotting (0,4) then rising 1 and running 3.
What is the slope of a horizontal line?
Zero
Write an equation for a line with the following slope and point.
m = 2/3 and (0, -2)
y = 2/3x - 2
Give an example of two linear equations that when graphed would create parallel lines.
Different examples.
Explain how to graph the following equation. 8x + 4y = 16.
Should be rewritten as y = -2x + 4 and then plot the y-intercept and then go down 2 and to the right one and plot another point. Connect the points.
Write an equation for a line that is parallel to y = -7x and goes through the point (0, -25)
y = -7x - 25
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
-6/-9 = 6/9 = 2/3
If you graphed the two equations below, would they be parallel? Explain why or why not
y = 1/5 x - 8
2y = 10x - 16
No - they do not have the same slopes
Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21
-7y = -3.5x + 21 y = 0.5x - 3 or y = 1/2x + 3
Is (2, -3) a solution to the equation - support why or why not.
2(x - 5) + 2y = -13
No -12 doesn't = -13 or it doesn't satisfy the equation
The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games?
y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games.