Types of Linear Equations

What is the general form for a Slope-Intercept linear equation?

• y = mx + b

• y - y1 = m(x - x1)

• Ax + By = C

• y = b - mx

How many forms can you use to write a linear equation?

Which of the following is NOT a type of linear equation?

• point-slope

• slope-intercept

• standard

• quadratic

Which graph represents the equation y = 2/3 x - 2?

• A line with a negative slope that intersects the y-axis at (0, 1).

• A line with a positive slope that intersects the y-axis at (0, 1).

• A line with a positive slope that intersects the y-axis at (0, -2).

• A line with a negative slope that intersects the y-axis at (0, 2).

What is the equation of a graph whose slope is 3/4 and whose y-intercept is 5?

• y = 3/4x - 5

• y = -3/4x - 5

• y = 3/4x +5

• y = 5x + 3/4

What linear equation represents the total depth of water (y), in inches, after x minutes, if the initial depth is 5 inches and the water level increases at 0.5 inches per minute?

• y = 5x + 0.5

• y = 0.5x + 5

• y = x + 0.5

• y = 0.5 - 5x

Complete the point-slope formula for a linear equation.

​ (a)   -​ (b)   =​ (c)   (​ (d)   -​ (e)   )

• y
• y1
• m
• x
• x1

What is the equation in point-slope form for a line that passes through the point (4, 7) and has a slope of -3?

• y - 3 = 4(x - 7)

• y + 4 = -3(x + 7)

• y - 7 = -3(x - 4)

• y - 4 = 3(x + 7)

Organize these options into the right categories

Groups:

(a) Slope-intercept form

,

(b) Point-slope form

,

(c) Standard Form

• y=-3x+4

• y=mx+b

• y+5=6(x-3)

• Ax+By=C

• A formalized equation that can be used to find the x- and y-intercepts of a line.

• Used when you can find the slope and a point on the line

• 3x-2y=6

• Used when given the slope and y-intercept

Put the steps in the correct order.

Write the equation for a line that goes through the points (1, 3) and (5, 15).

1.​ (a)  

2. 2.​ (b)  

3. 3. ​ (c)  

• Use the points to find the slope.
• Use the slope and one point to write an equation.
• Rearrange the equation into standard form.