Forms of Linear Equations

Forms of Linear Equations

There are three main ways to write a linear equation.

Slope Intercept, Standard Form, and Point-Slope Form

Slope-Intercept Form

 $y=mx+b$  

• m is the slope

• b is the y-intercept

Point-Slope Form

 $y-y_1=m\left(x-x_1\right)$  

• m is the slope

•  $\left(x_1,\ y_1\right)$  is the point

Standard Form

 $Ax+By=C$  

A, B, and C are all integers.
A and B cannot both be zero.

Multiple Choice

 $y=mx+b\$  is what form of a linear equation.

• Point-Slope Form

• Slope-Intercept Form

• Standard  Form

Multiple Choice

 $Ax+By=C$   is what form of a linear equation. 

• Point-Slope Form

• Slope-Intercept Form

• Standard Form

Multiple Choice

 $y-y_1=m\left(x-x_1\right)$   is what form of a linear equation. 

• Point-Slope Form

• Slope-Intercept Form

• Standard Form

Multiple Choice

The equation  $3x+5y=7$   is in what form?

• Point-Slope Form

• Slope-Intercept Form

• Standard Form

Multiple Choice

The equation  $y=\frac{1}{2}x+3$   is in what form?

• Point-Slope Form

• Slope-Intercept Form

• Standard Form

Multiple Choice

The equation  $y-3=\frac{1}{3}\left(x-5\right)$   is in what form?

• Point-Slope Form

• Slope-Intercept Form

• Standard Form

Multiple Choice

What is the slope in the equation: y=4x+3

• 3

• 4x

• 4

• x

Multiple Choice

Write in standard form.
4x - 2y + 3 = 7 - 4y

• 4x + 2y = 4
• 4x - 6y = 10
• 4x + 6y = 4
• 4x -2y = 4

Multiple Choice

Convert to slope intercept

• y = − 6 /5 x − 3 
• y = − 6/ 5 x + 3 
• y = 3/5x + 6
• y = 3/5x - 6

Multiple Choice

What is the y-intercept in the following equation: y=-4x-5

• -4

• -4x

• 5

• -5

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

• y +7 = -1/4(x - 4)
• y - 4 = -1/4(x + 7)
• y+ 7 = 4(x - 4)
• y - 7 = -1/4(x - 4)