Writing Equations in Slope-Intercept Form
Write an equation that has a slope of 1/4 and passes through (0, -5).
What is...
y=1/4x-5
Write in point-slope form:
y=3x; (2, 6)
What is...
y-6=3(x-2)
Write an equation parallel to 2y=5x+9 and has a y-intercept of 2.
Write in slope-intercept form.
What is...
y=5/2x+2
Identify the slope of the equation
y=5/2x + 4
What is...
m=5/2
Find the slope of the line:
y=4/5x+9
What is...
m=4/5
Write an equation in slope-intercept form that passes through the points:
(0, 3) & (7, -4)
What is...
y=-1x+3
Write an equation in point-slope form when it has a slope of -6 and passes through (8, -2)
What is...
y+2=-6(x-8)
On a graph, Main St. is equivalent to y=3x+7. Wood Rd. is parallel to Main St. and passes through (4, 5). Write the equation for Wood Rd. in point-slope form.
What is...
y-4=3(x-5)
Identify the slope
12y=-x + 9
What is...
m=-1/12
Describe how the equation would look on a graph.
x=2
What is...
A vertical line that intercepts at (2, 0)
Write in slope-intercept form.
2y+14x=9
What is...
y=2x+9/2
Write in point-slope form.
2y=-3x-1; (-44, 12)
What is...
y-12=-3/2(x+44)
Write equations that passes through (3, 5) and are perpendicular and parallel to the line y= 4x +9.
Leave in point-slope intercept form.
What is...
y-5=4(x-3)
y-5=-1/4(x-3)
Find the slope:
7x + 9y = -45
What is...
m=7/9
What is the name for the slope you find when solving for a perpendicular line?
What is...
Opposite reciprocal
Find the mistake and write the correct answer
y+7=-4(x-9) = y=-4x+41
What is...
Mistake: Added 7 instead of subtracting when simplifying
Correct Answer: y=-4x+29
Write 21y=4x+8 in point-slope form when it passes through (-6, 15).
What is...
y-15=4/21(x+6)
Write an equation that passes through (1, 3) and is parallel to the line y=5x+9. Write in slope-intercept form.
What is...
y=5x-32
What is the slope of a line that passes through (7, -1) and (-2, 3)
What is...
m=-4/5
Write 2x+4y=1/2 in slope-intercept form.
What is...
y=-1/2x+1/8
Jamie and his friends go bike riding together and start riding at the school. Jamie rides his bike at a constant rate and travels 10 miles in 3 hours. His friend, Carlos, rides his bike at a constant rate and travels 12 miles in 4 hours. Write equations in slope-intercept form for both Jamie and Carlos.
What is...
Jamie: y=3/10x
Carlos= y=1/3x
A phone company charges $1 per hour for international phone calls along with a $18 monthly fee. Write an equation in point-slope form representing Lyla's phone bill charges.
What is...
y-18=1(x-0)
Write an equation that passes through the given point and is perpendicular to the line. Write in point-slope form.
y=3x+9; (-2, 3)
What is...
y-3=-1/3(x+2)
Jen is asked to find the slope of a line that crosses through the points (4, 2) and (0, 3). Identify her mistake using her work below, and find the correct slope.
3-0 = 3 m=-3/2
2-4 = -2
What is...
Mistake: Jen wrote her formula as y1-x1/y2-x2.
Correct Answer: m=-1/4
A roller coaster starts at ground level which is (0, 0) on a graph. The ride reaches 340 feet in 2 minutes. What is the slope of the line?
What is...
m=170