5.3 - Writing an Equation from Two Points

A line passes through the coordinates (0,1) and (4,3). What is the slope of this line?

• m = 1/2

• m = 1

• m = 2

• m = 4

Answer explanation

To find the slope, use the formula:

 $m\ =\ \frac{y_{2\ }-\ y_1}{x_{2\ }-\ x_1}$  

A line passes through the coordinates (0,1) and (4,3). What is the y-intercept of this line?

• b = 1/2

• b = 1

• b = 2

• b = 4

Answer explanation

To find the y-intercept, insert the value for slope in for m and one of the coordinates in for x and y. Use the equation y = mx + b and solve for b. 

A line passes through the coordinates (0,1) and (4,3). What is the equation for the line in slope-intercept form?

• y = 1/2x + 1

• y = 1/2x + 3

• y = 2x + 1

• y = 2x + 3

Answer explanation

Use the slope and the y-intercept and plug them into the equation y = mx + b. 

A line passes through the coordinates (1,3) and (2,4). What is the slope of this line?

• m = 4

• m = 3

• m = 2

• m = 1

Answer explanation

To find the slope, use the formula:

 $m\ =\ \frac{y_{2\ }-\ y_1}{x_{2\ }-\ x_1}$  

A line passes through the coordinates (1,3) and (2,4). What is the y-intercept of this line?

• b = 1/2

• b = 1

• b = 2

• b = 4

Answer explanation

To find the y-intercept, insert the value for slope in for m and one of the coordinates in for x and y. Use the equation y = mx + b and solve for b. 

A line passes through the coordinates (1,3) and (2,4). What is the equation for the line in slope-intercept form?

• y = 2x + 2

• y = 2x + 1

• y = x + 2

• y = 1/2x + 2

Answer explanation

Use the slope and the y-intercept and plug them into the equation y = mx + b. 

A line passes through the coordinates (1,1) and (3,5). What is the slope of this line?

• m = -4

• m = -2

• m = 2

• m = 4

Answer explanation

To find the slope, use the formula:

 $m\ =\ \frac{y_{2\ }-\ y_1}{x_{2\ }-\ x_1}$  

A line passes through the coordinates (1,1) and (3,5). What is the y-intercept of this line?

• b = -2

• b = -1

• b = 1

• b = 2

Answer explanation

To find the y-intercept, insert the value for slope in for m and one of the coordinates in for x and y. Use the equation y = mx + b and solve for b. 

A line passes through the coordinates (1,1) and (3,5). What is the equation for the line in slope-intercept form?

• y = -2x + 1

• y = -x + 2

• y = x - 2

• y = 2x - 1

Answer explanation

Use the slope and the y-intercept and plug them into the equation y = mx + b. 

A line passes through the coordinates (4,3) and (8,1). What is the slope of this line?

• m = -2

• m = -1/2

• m = 1/2

• m = 2

Answer explanation

To find the slope, use the formula:

 $m\ =\ \frac{y_{2\ }-\ y_1}{x_{2\ }-\ x_1}$