Equation of a Line Through Two Points

Write an equation in point slope form that passes through the following points.

(1, 4) and (-1, 1)

• y-4=3/2(x-1)

• y+4=3/2(x-1)

• y=3/2x+4

• x-4=3/2(y-1)

Write the equation in point-slope form for the line that contains the points

(3, -5) and (5, - 1)

• y - 5 = 2(x + 3)

• y + 5 = 2(x - 3)

• y - 3 = 2(x + 5)

• y + 3 = 2(x - 5)

Which of the following represents the equation of a line containing the points \(\left(9,-3\right)\)and \(\left(14,7\right)\)in point-slope form?

What is the point slope form equation of the graph given(use blue point in equation)

Which of the following is a solution to the graphed equation above?

• (3, 2)

• (-4, 6)

• (1, 3)

• (3, 1)

Given an equation with x and y and a pair of coordinate points, how do you know if the points are a solution?

• Plug them into the equation to see if they make the equation true.

• Guess.

• You will never know if it is true.

• Ask your teacher.

If you graph a linear equation, the result is a____________

• straight line with infinite points

• parabola with infinite points

• straight line with finite points

Find the equation of the line that passes through the points:
(0, -2) and (-5, 3)

• y = -x - 2

• y = x - 2

• y = x + 3

• y = -x - 3

Write the linear equation in y = mx + b form using the given points.

• y = -2x + 1

• y = -3x + 1

• y = 2x + 1

• y = 3x - 1

Which equation has a line that would pass through both (8, 5) and (9, −1) ?

• y = 6x + 53

• y = −6x - 53

• y = (−4/5)x + 53

• y = −6x + 53