x and y intercepts and slopes

Math Nation - Unit 3, Lesson 4 - Writing Equations of Lines from Written Description - Volume 1, PAGE 127

𝑥-intercept

𝑦-intercept

Intercept: the value of a variable
when all other variables in an
equation are 0.

x - intercept: the value of x, at
the point where a line/graph
intersects the x -axis. The value
of y is 0.

y - intercept: the value of y at
the point where a line/graph
intersects the y -axis. The value
of x is 0.

Rate of Change: is the ratio of change in one quantity to
the corresponding change in another quantity. (Slope)

● Graph

○ Count

● Table

○ Slope Formula

Guided Instruction:

● Given a slope and a y intercept you can look an x intercept

Ex. slope is and passes through the point (0, 4)

Step 1: Write in slope-intercept form (y=mx+b)

y = x + 4

Guided Instruction:

Step 2: (we know that x intercept has a y value of 0) Replace y
with 0

0 = x + 4

Step 3: Solve for x

0 = x + 4

Subtract 4 from both side

- 4

- 4

2(- 4 = x)

Multiply both sides by 2

- 8 = x

x -intercept