Slope-Intercept, Standard, and Point-Slope Form

What is the x-intercept for the equation 2x - 5y = 10

5

Type of Slope

Negative

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ?

y - 2 = 1/3(x - 3)

Alejandra correctly wrote the equation y - 3 = 1/5 (x - 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

y - 3 = 2(x - 10)

Which equation represents a line that passes through (-2, 4) and has a slope of 2/5?

y - 4 = 2/5(x + 2)

2x + 4y = -12 (Write in slope-intercept form)

y = (-1/2)x - 3

4x + 12y = -6 (Write in slope-intercept form)

y = (-1/3)x - (1/2)

x + 5y = 12 (Write in slope-intercept form)

y = (-1/5)x + 12/5

3x + 2y = 6 (Write in slope-intercept form)

y = (-3/2)x + 3

(Write in slope-intercept form)

y = (-4/7)x + 6/74x + 7y = 6

5x + 3y = -8 (Write in slope-intercept form)

y = (-5/3)x - 8/3

8x + 3y = -15 (Write in slope-intercept form)

y = (-8/3)x - 5

5x - 4y = 7 (Write in slope-intercept form)

y = (5/4)x - 7/4

To find the x-intercept, plug 0 in for the __________________.

y-coordinate

Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?

f(x) = -3x + 14

In the slope-intercept form, which letter represents slope?

m

What is the equation of the graphed line in point-slope form?

y + 3 = 2 (x + 3)

x - 6y = -12 (Write in slope-intercept form)

y = (1/6)x + 2

6x - 9y = 9 (Write in slope-intercept form)

y = (2/3)x - 1

7x - y = 13 (Write in slope-intercept form)

y = 7x - 13

What is the slop-intercept form?

y = mx + b

What is the y-intercept for the equation -3x + y = 3

3

What is the y-intercept for the equation -2x + y = 4

4

What is the slope of the line?

5/2

y = 2x - 2 (Write in slope-intercept form)

6x - 3y = 6

What is the y-intercept of the graph?

7

Type of slope

Positive

Rise over Run

Slope

Anya graphed the line (y - 2) = 3(x - 1) on the coordinate grid. What is the slope of her line?

The slope of her line is 3

What is the slope of a vertical line?

Undefined

What is the x-intercept for the equation 3x + 2y = -6

-2

What is the y-intercept of the graph?

-2

What is the y-intercept for the equation 3x + 2y = -6

-3

Vertical Change

Rise

Horizontal Change

Run

What is the slope of the graph?

What is the slope of the graph?5/3

The equation of a linear function in point-slope form is y - y1 = m(x - x1). Harold correctly wrote the equation y = 3(x - 7) using a point and the slope. Which point did Harold use?

When Harold wrote his equation, the point he used was (7, 0).

To find the y-intercept, plug 0 in for the _________________.

x-coordinate

Which equation represents a line that passes through (-9, -3) and has a slope of -6?

y + 3 = -6(x + 9)

Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?

y - 1 = 1/2(x -5)

9x + 4y = -4 (Write in slope-intercept form)

y = (-9/4)x - 1

3x - 6y = 9 (Write in slope-intercept form)

y = (1/2)x - 3/2

x - 3y = -9 (Write in slope-intercept form)

y = (1/3)x + 3

ax + y = 5 (Write in slope-intercept form)

y = -2x +5

4x + y = -2 (Write in slope-intercept form)

y = -4x - 2

8x + y = -5 (Write in slope-intercept form)

y = -8x - 5

y = -x - 43x + 3y = -12 (Write in slope-intercept form)

y = -x - 4

What is the x-intercept for the equation -3x + y = 3

-1

What is the slope of the line?

-1/2

What is the Y-intercept for the equation 2x - 5y = 10

-2

What is the x-intercept for the equation -2x + y = 4

-2

What is the slope of a horizontal line?

0

What is the y-intercept of the graph?

0