Linear Equations Jeopardy

Write equations of lines in point slope form

100

What is point-slope form?

y - y₁ = m(x - x₁)

200

Write an equation in point-slope form for the line with slope 2 through the point (1, 3)

y - 3 = 2(x -1)

300

Convert the point (2, 5) and slope 3 into point-slope form.

y - 5 = 3(x - 2)

400

Write the point-slope form for the line through (-2, 4) with slope -3

y - 4 = -3 (x + 2)

500

Given the points (-1, 2) and (-3, 6), write the equation in point-slope form.

y - 2 = -2(x + 1)   or

y - 6 = -2(x + 3)

Write equations of lines in slope-intercept form

100

What is the equation for slope-intercept form?

y = mx + b

200

Write an equation in slope-intercept form for the line with slope -1 and y-intercept 5.

y = -1x + 5

300

Convert the point-slope form equation into slope-intercept form.

y - 1 = 2(x - 3)

y = 2x - 5

400

Write the slope-intercept form for the line that passes through (0, -1) with slope 2.

y = 2x - 1

500

Derive the slope-intercept form from the given equation 

y - 4 = -2(x - 1)

y = -2x + 6

Apply the slope formula

100

What is the slope formula?

m = y₂ - y₁

       x₂ - x₁

200

Use the slope formula to find the slope between (3, 4) and (7, 8).

m = 1

300

Apply the slope formula to find the slope between the points (1, 2) and (4, -5).

m = -7/3

400

Use the slope formula to find the slope between the points (6, -9) and (12, 15).

m = 4

500

Apply the slope formula to find the slope between the points (2, 8) and (6, 12)

m = -1

Find missing coordinate when given the slope

100

If the slope is 2 and the point is (3, 5), what is the missing coordinate when (4, y)?

y = 7

200

 Given slope 3 and point (4, 8), find the missing coordinate when (6, y)

y = 14

300

If the slope is 1/3 and the point is (3, 6), find the missing coordinate when (9, y).

y = 8

400

If the slope is 5 and the point is (2, 10), find the missing coordinate when (x, 15).

x = 3

500

Given slope 3 and point (1, 2), find the missing coordinate when (x, 11)

x=4

Find y-intercept when given a point and the slope

100

If the slope is 3 and the point is (1, 2), what is the y-intercept?

b = -1

200

If the slope is -1 and the point is (2, 4), find the y-intercept.

b = 6

300

Given slope 4 and point (2, 3), find the y-intercept.

b = -5

400

Find the y-intercept of the line with slope -1/2 and going through (1, 3).

b = 7/2 or 3.5

500

If the slope is -2 and the point is (1/3, 2/3), find the y-intercept.

b = 4/3 or 1.333