Writing Linear Equations

Which equation below is the point slope form?

• y = mx + b

• y = m(x + b)

• $y\ -\ y_{1\ }=m\left(x\ -x_1\right)$

• $\text{}\frac{y_{2\ }-y_1}{x_2-x_1}$

Which is NOT a rule of the Standard Form of a Linear Equation?

• All coefficients and fixed numbers must be integers.

• The variable term with y is by itself on one side of the equal sign.

• The coefficient of the variable term with x is called A and must be positive.

• The fixed number term should be isolated on one side of the equal sign.

Given the coordinate points (2, 5) and (-3, -10) mark all equations that would represent the line, written in point slope form.

• y - 5 = 3(x - 2)

• y = 3x - 1

• $y\ =\ \frac{5-\ \left(-\ 10\right)}{2\ -\ \left(-3\right)}$

• y + 10 = 3(x + 3)

• y + 5 = 3(x+ 2)

Which equation is NOT written in standard form?

• 2x + 3y = 7

• 4 = -3y + 4x

• 3y = -2x + 4

• y + x = 2

Given m = -3 and the line is crossing the y-axis at coordinate point ( 0, 6). What would the slope intercept equation be for the line?

• y = -3x

• y = 6x - 3

• y = -3 + 0,6

• y = -3x + 6

Given m = -3 and the line is crossing the y-axis at coordinate point ( 0, 6). What would the point slope equation be for the line?

• y - 0 = -3 (x - 6)

• y - 6 = -3 (x - 0)

• y = -3x + 6

• y + 6 = -3 ( x +0)

Given the coordinate points (2, 5) and (-3, -10) mark all equations that would represent the line, written in slope intercept form.

• y = 3x - 1

• 3x - y = 1

• y - 5 = 3( x - 2)

• -1 + 3x = y

Given the coordinate points (2, 5) and (-3, -10) mark all the equations that would represent the line, written in standard form.

• 3x - y = 1

• y = -3x +1

• -y + 3x = 1

• 1 = 3x - y

• y + 10 = 3 ( x + 3)

Given the coordinate points (1, 7) and (-1, 7) what would the slope of this line?

• m = 7

• m = 0

• m is undefined

• $m\ =\ \frac{2}{7}$

• $m\ =\frac{0}{2}$

Given the coordinate points (-3, 7) and (1, -1), what would the slope be for a line going through these two points?

• $m\ =\ \frac{-1}{2}$

• m = 0

• m is undefined

• m = -4

• none of the above