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Y-Intercept Guided Notes

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Y-Intercept Guided Notes

A line’s y-intercept is where it crosses the y-axis. Use the notes, visual, and coordinate grid to investigate how the y-intercept changes a line. In slope-intercept form, y = mx + b, m is the slope and b is the y-intercept.

Spot the intercept

The y-intercept is the point where a line crosses the y-axis. At every point on the y-axis, x = 0. In y = mx + b, the y-intercept has y-coordinate b, so its point is (0, b).

1.In the equation y = mx + b, which letter gives the y-intercept?

2.For y = 2x + 4, complete both parts: the y-intercept value is ; the y-intercept point is (, ).

3.A line is given by y = 3x − 2. Where does it cross the y-axis? Give the coordinate point.

Read the vertical position

When two lines have the same slope but different y-intercepts, they are parallel: they rise at the same rate but cross the y-axis at different heights.

4.These three parallel lines have slope 1. Match each equation to its y-intercept value.

y = x + 1
y = x + 3
y = x + 5

5.The number line shows the three y-intercept values. Which equation has the highest y-intercept?

6.True or false: If the y-intercept increases while the slope stays the same, the line shifts upward and remains parallel to the original line.

TrueFalse

Use the coordinate grid

Use the blank coordinate plane below. Its horizontal axis is x, its vertical axis is y, and each square represents 1 unit. Sketch the lines in Questions 7 and 8 on this grid.

y-axis; unit spacing

x-axis; unit spacing

7.Sketch y = x + 2 on the coordinate grid. Mark its y-intercept, then give the coordinate of that point.

8.Sketch y = x − 1 on the same grid. What is its y-intercept, and how does its position compare with y = x + 2?

9.A line has slope 2 and passes through (0, 6). Write its equation in the form y = mx + b.

10.Find the y-intercept value and coordinate point for each line: (a) y = 4x + 7; (b) y = −x − 4; (c) y = 5x.

11.A student says, “The y-intercept of y = 3x + 8 is (8, 0).” Explain the mistake and give the correct intercept.

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More Mathematics Worksheets

10th Grade

Y-Intercept Guided Notes

Y-Intercept Guided Notes

Spot the intercept

Read the vertical position

Use the coordinate grid

3 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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