Slopes and Finding Equations of Lines

Slopes and Finding Equations of Lines

Topic 3-1, 3-3, and 3-4

Finding Slope

1. Remember Mr. Slope
2.  $\frac{\Delta y}{\Delta x}$  = Slope = m

Multiple Choice

Find the slope of the line that passes through
(19, -2) and (-11, 10)

• -2/5
• 2/5
• 5/2
• -5/2

Multiple Choice

Find the slope of the line that passes through
(10, 1) and (5, 2)

• 1/5
• -1/5
• 5
• -5

Equation of Lines

To find the equation of a line in slope-intercept form you must use point-slope form.

Find equation given a point and the slope

If they give you a point and the slope, then plug in directly to the point-slope form and solve for y.

Multiple Choice

Write the slope-intercept form of the equation with the given point and slope.

Through ( - 1,4 ) and m = - 3

• y = x - 3

• y = - 3x + 1

• y = x + 2

• y= - 3x + 4

Multiple Choice

Write an equation  
m = 5 through (-1, -3)

• y = 5x + 2
• y = -5x - 5
• y = -5x + 2
• y = 2x - 5

Multiple Choice

Write an equation  
m = 5/4 through         (-4, -3)

• y = 5/4x +2
• y = -5/4x + 2
• y = 2x - 5/4
• y = 3/4x + 2

Find the equation of a line given two points.

If they give you two points you must first find the slope then continue like we did the previous problems.

Multiple Choice

Write equation of the line containing (-3,4) and (-1,-2)

• y = -3x - 5
• y = -3x + 1
• y = -3x + 13
• y = 3x + 1

Multiple Choice

Find the equation of the line that passes through the points:

(2, 2) and (3, 4)

• y = 2x + 2
• y = -2x - 2
• y = -2x + 2
• y = 2x - 2

Multiple Choice

Find the equation of the line that passes through the points:

(3, 4) and (0, -5)

• y = 3x + 5
• y = -3x + 4
• y = -3x + 4
• y = 3x - 5