SOAR Alg1 | 4-3 Writing in Point-Slope Form

Match

Match each equation with the correct form.

• $$Ax+By=C$$

• $$y=mx+b$$

• $$y-y_1=m\left(x-x_1\right)$$

standard form

slope-intercept form

point-slope form

• standard form

• slope-intercept form

• point-slope form

Multiple Choice

Which two pieces of information do you need to write an equation in point-slope form?

• A point (x1, y1) and the slope (m).
• Two points (x1, y1) and the y-intercept (b).
• The slope (m) and the x-intercept (x).
• A point (x1, y1) and the y-intercept (b).

Match

The general form of point-slope form is:

$$y-y_1=m\left(x-x_1\right)$$

Match each variable with its description.

• $$m$$

• $$x_1$$

• $$y_1$$

slope

x-coordinate of a point

y-coordinate of a point

• slope

• x-coordinate of a point

• y-coordinate of a point

Match

A line has a slope of 2 and passes through the point (-1,5).

Match each value with the variable it represents in point-slope form:

$$y-y_1=m\left(x-x_1\right)$$

• 2
• -1
• 5

• $$m$$

• $$x_1$$

• $$y_1$$

Drag and Drop

A line has a slope of 2 and passes through the point (-1,5).

Drag & drop the correct values into point-slope form:

​y -​

Placeholder

= ​

Placeholder

( x - ​

Placeholder

)

Drag these tiles and drop them in the correct blank above

5

2

-1

Multiple Choice

Which is the equation of a line that passes through the point (4, 7) and has a slope of -4.

• $$y-4=-4\left(x-7\right)$$

• $$y-7=-4\left(x-4\right)$$

• $$y+7=-4\left(x+4\right)$$

Math Response

Write the equation of a line that passes through the point (3,-2) and has a slope of 5 in point-slope form.

Type answer here

Correct Answer: y+2=5\left(x-3\right)

Deg^°

Rad

Match

Match each equation with the correct slope & point it passes through.

• $$y+1=4\left(x+2\right)$$

• $$y-1=4\left(x-2\right)$$

• $$y-1=-4\left(x+2\right)$$

slope: 4

point: (-1, -2)

slope: 4

point: (1, 2)

slope: -4

point: (1, -2)

• slope: 4

  point: (-1, -2)

• slope: 4

  point: (1, 2)

• slope: -4

  point: (1, -2)

Draw

Find the slope of the line that passes through the points (-2, -1) and (4, 3).

Use the blank canvas to show your work,

then enter your answer on the next slide.

Math Response

What is the the slope of the line that passes through the points (-2, -1) and (4, 3)?

Type answer here

Correct Answer: \frac{2}{3}

Deg^°

Rad

Drag and Drop

Write the equation, in point-slope form, of a line that passes through the points (-2, -1) and (4, 3).

y -​

Placeholder

=​

Placeholder

(x -​

Placeholder

)

Drag these tiles and drop them in the correct blank above

-1

2/3

-2

Draw

Find the slope of the line that passes through the points (-9, 8) and (9, -10).

Use the blank canvas to show your work,

then enter your answer on the next slide.

Math Response

What is the the slope of the line that passes through the points (-9, 8) and (9, -10)?

Type answer here

Correct Answer: -1

Deg^°

Rad

Math Response

Write the equation, in point-slope form, of a line that passes through the points (-9, 8) and (9, -10).

Type answer here

Correct Answer: y-8=-1\left(x+9\right)

Deg^°

Rad