Slope Intercept form
The form of the equation shown below: y=-4x+2
slope-intercept form; y=mx+b
Write the slope-intercept form of the equation given:
Slope = 9/4 y-int = - 4
y = 9/4 x - 4
Write an equation in slope-intercept form.
x: 2 4 6 8 10 12 14
y: 0 1 2 3 4 5 6
y = 1/2 x - 1
The equation below in slope-intercept form: 4x+2y=8
y=-2x+4
There is a relationship between how long you study and what grade you receive on your quiz. Knowing this, Roeny decides to study for the quiz on Friday. He has already studied for 2 hours. He plans to study 1 more hour each night. Identify the x & y variables in this situation.
x= total hours spent studying
y= number of nights spent studying
'm' stands for this in slope-intercept form.
the slope
write the equation in slope intercept form given: slope is 5 and the y intercept is -9
y=5x-9
Write a linear equation that relates x and y for the given table:
x: 2 4 6 8
y: 5 8 11 14
y = 3/2 x + 2
The equation below in slope-intercept form:
y + 4 = -3(x + 2)
y=-3x-10
Mr. Butler is driving an average rate of 25mph. He starts his journey 5 miles away from home. Write a linear equation to model this situation.
y= 25x + 5
How is slope represented on a graph and/or table?
Rise/Run
and/or
change of y/change of x
write the equation in slope intercept form given: slope is 2/3 and it passes through the point (0,0)
y = (2/3)x
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through (4, 1), slope = 3/4
y = 3/4 x - 2
The equation below in slope-intercept form:
y-6=-10(x+3)
y=-10x - 24
Ygor is completing his Khan Academy homework. He has already completed 30 minutes of Khan Academy this week. He plans to continue doing 10 minutes each night. Write a linear equation to model this situation.
y=10x+30
'b' stands for this in slope-intercept form.
the y-intercept
Write the equation in slope-intercept form for the table below.
x: 0 1 2 3 4
y: 0 2.5 5 7.5 10
y = 2.5x
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through (5, 1), slope = - 1/3
y = - 1/3 x + 8/3
The equation below in slope-intercept form:
y + 3 = -2(x – 2)
y=-2x+1
Ms. Black is making cookies for the class. Her oven is very small and she can only make cookies as fast as she can cook them. After baking for 40 minutes, she made 40 cookies. After baking for 50 minutes, she made 60 cookies. Find the y-intercpet for this linear equation.
Hint: Pick 1 point. The slope = 2.
b = 20
How is the y-intercept represented on a graph and/or table?
crosses the y-axis
and/or
(0,#)--(x,y)
Write a linear equation that relates x and y for the given table:
x: 0 3 6 10
y: 2 8 14 22
y = 2x + 2
write the equation in slope intercept form given two points on the line: (1, 10) and (-1, -2)
y=6x+4
The equation below in slope-intercept form:
y + 4 = (-5/2)(x – 3)
y=(-5/2)x+(7/2)
Ms. Black is making cookies for the class. Her oven is very small and she can only make cookies as fast as she can cook them. After baking for 40 minutes, she made 40 cookies. After baking for 50 minutes, she made 60 cookies. Write a linear equation to model this delicious situation. Then, using that equation, determine how long it will take for Ms. Black to make 100 cookies.
The equation is:
y=2x+20
It will take Ms. Black:
70 minutes