Slope Detectives
Slope-Intercept Form
Point-Slope Form
Standard Form
Line Relationships & Graphs
100
Find the slope of the line passing through (2, 3) and (4, 7).
What is 2?
100
What is the slope-intercept form of a linear equation?
What is y = mx + b?
100
What is the point-slope form of a linear equation?
What is
y − y₁ = m(x − x₁)?
100
What is the general equation of standard form?
What is
Ax+By=C?
100
What is the ordered pair of the y-intercept of y = 2x − 6?
What is (0, -6)?
200
Find the slope of the line passing through (−1, 5) and (2, −4).
What is -3?
200
Find the slope and y-intercept in this equation:
y=4x-2
What is slope = 4 and y-intercept = -2?
200
Write the point-slope equation of a line with slope 4 passing through (1, −2).
What is
y+2=4(x-1)?
200
Which equation is in standard form:
y=2x+5
3x+2y=12
y-1=4(x+2)
What is
3x+2y=12?
200
Graph this equation:
y=1/2x-3
300
A line passes through (1, 4) and (5, 4). What is its slope, and what type of line is it?
What is 0 and a horizontal line?
300
Write the equation in slope-intercept form for a line with slope 3 and y-intercept −5.
What is
y=3x-5?
300
Write the point-slope equation of a line with slope −3 passing through (2, 5).
What is
y-5=-3(x-2)?
300
Convert 5x − 4y = 20 to slope-intercept form.
What is
y=5/4x-5?
300
Are the followinf equations parallel, perpendicular, or neither:
y=-1/3x+1
y=-1/3x-4
What is parallel?
400
A taxi charges $4 to start a ride and an additional $2.50 per mile. What is the slope if x is miles driven and y is total cost? What does it represent?
What is 2.5 and the cost per mile?
400
A yoga studio charges a $15 membership fee plus $5 per class. Write an equation for the total cost y after x classes.
What is
y=5x+15?
400
Convert y − 2 = 3(x − 4) to slope-intercept form.
What is
y=3x-10?
400
Convert y = −2x + 7 to standard form with integer coefficients and A positive.
What is
2x+y=7?
400
A line is perpendicular to y = −(1/3)x + 3 and passes through (0, 2). Write its equation in slope-intercept form.
What is
y=3x+2?
500
A water tank contains 120 gallons and drains at a constant rate. After 4 minutes, it contains 88 gallons. What is the slope, and what does it mean?
What is -8 and the tank loses 8 gallons of water per minute?
500
A linear function has the values (0, 7), (2, 13), and (4, 19). Write its equation in slope-intercept form.
What is
y=3x+7?
500
Write the equation in point-slope form for a line passing through (−3, 6) and (1, −2).
What is
y-6=-2(x+3) or y+2=-2(x-1)?
500
A line has slope 3 and passes through (2, 1). Write its equation in standard form with integer coefficients and A positive.
What is
3x-y=5?
500
Graph this equation:
y-6=-3(x-2)
