Slope Intercept
Name the slope and y-intercept for y = 1/3x+4
m=1/3
b=4 or (0,4)
what is the y-intercept of 3x-4y=12
-3
Does the line y= 2x +7 have a positive or negative slope? How do you know?
positive, because the co-effecient of x is positive integer.
in the line x=3, is the point (3, 15) a solution to the equation? How do you know?
Yes, in the vertical line x=3 every point that has an x value of 3 is a solution.
How do we count to find slope? (Hint: ________ over ________)
Rise over Run
Find the slope and y intercept for y-5x = 7
m=5
y-intercept = 7 or (0,7)
What is the x-intercept of 2x+7y=14?
x=7
Does the equation y = -1/3 x have a positive or negative slope? How do you know?
Negative, because the co-efficient of x is a positive rational number
For the line y= 2/3x +4, is the point (0,6) a solution? How do you know?
in the given line, the y-intecept is (0,4) because b=4, so (0,6) which would also be on the y axis cannot be on the line.
What is slope?
the difference of the y coordinates compared (or divided by) the difference of the x coordinates
Find the slope and y-intercept for 4y = -x+4
m=-1/4
b=1 or (0,1)
Find the x and y intercepts of 2x+6y=24. Write your answers as ordered pairs
y-intercept is (0,4) and x intercept is (12, 0)
Describe the slope of the line y = 3
y = 3 has no slope because it is a horizontal line
For 3x+4y=12, is (-12, 12) a solution? How do you know?
Yes, from looking on the Desmos graph we can see that the point is on the line. Alternately, we could plug -12 in for x and 12 in for y. 3(-12) is -36, and 4(12) is 48. When added together 48-36=12, which makes the equation true.
What does the b represent in slope intercept form?
the y-intercept
Find the slope and intercept for -4x + 2y = 8
m=2
b= 4 or (0,4)
Find the x and y intercept of 10x-18y = 90
y-intercept = (0,-5) and x-intercept = (9,0)
Describe the slope of x=3
x=3 has an undefined slope, because it is a vertical line
For the equation 5x+9y=90, is the point (45, -15) a solution? Give 2 ways we can know.
(1) Graph the equation in Desmos and look at
(45, -15) which is on the line - so is a solution
(2) Plug 45 in for x and -15 in for y
5(45)+9(-15)=90
225 - 135 = 90, since 90 = 90 is true, it is a solution.
What is the y-intercept?
The point that a line crosses the y-axis
Find the slope and y-intercept of 4x+3y = 12
m=-4/3
b = 4
Calculate the slope of the line 15x+9y=90 (Hint: find the intercepts and use them and the slope formula to calculate the slope)
The slope is -2/3
What kind of slope does 3x+4y=12 have? How do you find out?
It has a negative slope. We can find the x and y intercepts and since the y intercepts.
In the equation 5x +9y = 90, is the point (19,-9) a solution? Give 2 ways to know.
(1) Plug 19 in for x and -9 in for y and see if it creates a true statement 5(19) + 9(-9) is not equal to 90 ... 95-81 is only 14.
(2) Looking on the Desmos graph shows that
(19, -9.333) is on the line, but not (19,-9)
What is the x-iintercept?
The point where the line crosses the x-axis.