Free Printable f-5-3-Writing Equations Given Two Points (30)

1.

Determine which equation represents the slope-intercept form of a linear equation.

a)

$y-y_1=m\left(x-x_1\right)$

b)

$Ax+By=C$

c)

$a_n=a_1\cdot r^{n-1}$

d)

$y=mx+b$

2.

Given: $y=mx+b$

Choose all answers that represent the variable "m".

a)

$\frac{rise}{run}$

b)

$slope$

c)

$\frac{the\ change\ in\ y}{the\ change\ in\ x}$

d)

$median$

e)

$\frac{\Delta y}{\Delta x}$

3.

Choose the slope and y-intercept:

$y=-3x+5$

a)

slope = 3

b)

y-intercept = (0, 5)

c)

y-intercept = (5, 0)

d)

slope = -3

e)

slope = -5

4.

Choose all answers that represent the slope of the equation below:

$y=2x+3$

a)

$2$

b)

$-\frac{1}{2}$

c)

$-2$

d)

$3$

e)

$\frac{2}{1}$

5.

Given the points: $\left(2,\ 0\right)\ and\ \left(4,\ 4\right)$

Write the equation of a line, in "slope-intercept form", that passes through the given points.

(a)

6.

Given: $m=\frac{1}{2}\ and\ b=6$

Write the equation of a line in slope-intercept form.

a)

$y=\frac{1}{6}x+2$

b)

$y=6x+\frac{1}{2}$

c)

$y=\frac{1}{2}x+6$

d)

$y=2x+6$

7.

Given: $m=-1\ and\ the\ point\ \left(-2,\ 4\right)$

Write the equation of a line in slope-intercept form.

(a)

8.

Given: $\left(-4,-2\right)\ and\ \left(-3,\ 5\right)$

Write the equation of a line that passes through the given points.

a)

$y=\frac{1}{7}x+26$

b)

$y=7x+26$

c)

$y=-7x+26$

d)

$y=-7x-26$

9.

Write the equation of the line, in slope-intercept form, shown in the graph.

a)

$y=2x-8$

b)

$y=\frac{1}{2}x+8$

c)

$y=x+8$

d)

$y=2x+8$

10.

Given: $\left(3,\ 4\right)\ and\ \left(0,-5\right)$

Write the equation of the line that passes through the given points.

a)

$y=3x+5$

b)

$y=-3x+4$

c)

$y=3x+4$

d)

$y=3x-5$

11.

Find the slope of the line shown in the graph.

(a)

12.

Given: $\left(-3,\ 4\right)\ and\ \left(-1,-2\right)$

Write the equation of the line passing through the given points.

a)

$y=-3x-5$

b)

$y=-3x+1$

c)

$y=-3x+13$

d)

$y=3x+1$

13.

Find the slope of the line shown in the graph.

a)

$-\frac{5}{3}$

b)

$-\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$\frac{3}{5}$

14.

Given: $\left(2,\ 2\right)\ and\ \left(3,\ 4\right)$

Write the equation of the line that passes through the given points.

(a)

15.

Given: $\left(-2,\ 4\right)\ and\ \left(1,\ 10\right)$

Write the equation of the line that passes through the given points.

a)

$y=2x+1$

b)

$y=-2x+1$

c)

$y=2x+8$

d)

$y=-2x$

16.

Given: $\left(0,-5\right)\ and\ \left(4,\ 3\right)$

Write the equation of the line that passes through the given points.

a)

$y=2x-5$

b)

$y=2x+5$

c)

$y=5x-2$

d)

$y=5x+2$

17.

Given: $\left(5,\ 3\right)\ and\ \left(4,-3\right)$

Write the equation of the line that passes through the given points.

a)

$y=27x+6$

b)

$y=-6x$

c)

$y=6x+27$

d)

$y=6x-27$

18.

Given: $\left(3,\ 3\right)\ and\ \left(1,-5\right)$

Write the equation of the line that passes through the given points.

(a)

19.

Given: $\left(1,\ 7\right)\ and\ \left(0,-9\right)$

Write the equation of the line that passes through the given points.

(a)

20.

Given: $m=5\ and\ the\ point\ \left(-1,-3\right)$

Write the equation of a line given the slope and a point.

(a)

21.

Given: $\left(0,-5\right)\ and\ \left(4,\ 3\right)$

Write the equation of the line that passes through the given points.

(a)

22.

Evaluate the expression:

$\left(7+41\right)\div2-15$

(a)

23.

Choose the most accurate definition of a function.

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

24.

Given: $f\left(x\right)=3\left(6-x\right)$

Compute the value of the $f\left(-8\right)$ .

(a)

25.

Given: $f\left(x\right)=x^2-1$

Find the value of the $f\left(10\right)$ .

(a)

26.

Solve the equation for b:

$-11+3\left(b+5\right)=7$

(a)

27.

Solve the equation for x:

$4\left(x+9\right)=20$

(a)

28.

Given: $a=3\ and\ b=4$

$7a+8b\cdot2$

Evaluate the expression for the given values of a and b.

(a)

29.

Given Sequence (Arithmetic):

$\left(26,\ 22,\ 18,\ 14,\ ...\right)$

Find: $a_{38}$

(a)

30.

Given Sequence (Geometric):

$\left(96,\ 48,\ 24,\ 12,\ ...\right)$

Find: $a_{10}$

a)

$3$

b)

$\frac{1}{2}$

c)

$\frac{1}{6}$

d)

$\frac{3}{16}$

f-5-3-Writing Equations Given Two Points (30)

Total questions: 30

Worksheet time: 2hrs 26mins

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