Linear Equations Point Slope Form

Write the equation of the line in point-slope form by using the given point.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, 0); m = 7

• y - 4 = 7(x + 0)

• y - 0 = 7(x - 4)

• y = 7x + 4

• y = 7x + 0

What two things do you NEED to write an equation in point-slope form?

• a slope and a y-intercept

• a slope and a x-intercept

• a slope and a point

• two points on the line

Write the point-slope form of the equation of each line given the slope and y-intercept.

Slope = 3/2 ; y-intercept = 1

• y = -5/2 (x + 1)

• y - 1 = -x

• y = -(x - 1)

• y + 1 = 3/2 x

What is the point given in the following equation?
y-2= 3(x+1)

• (1,3)

• (-1,2)

• (1,-2)

• (-2,1)

Write the point-slope form of the equation of each line given the slope and y-intercept.

Slope = -2/3 ; y-intercept = -4

• y - 4 = 2/3x

• y = -2/3 (x - 4)

• y - 4 = 3/2x

• None of these

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)

• Ax + By = C

• y = mx + b

If a line passes through (0,6) and has a slope of 2, what is the equation for the line?

• y = 2x

• y = 2x + 6

• y = 6x + 2

• y = 2x - 6

If a line passes through (0,-5) and has a slope of -8, what is the equation for the line?

• y = -5x - 8

• y = -8x + 5

• y = -8x - 5

• y = -8x