Graphing Lines and Tables

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Linear Functions can be written in the form y = mx + b.

They can have positive or negative slopes and positive or negative y-intercepts.

Variables in the equation cannot contain exponents. There cannot be a variable in the denominator of any fraction in the equation.

Which equation represents a linear function?

To write an equation you need two pieces of information- the slope (m--the change in y over the change in x) and the y-intercept (b--where the line crosses the y-axis). Write an equation for the following linear function graphed on the left. Hint: use y = mx + b

Answer explanation

The line goes down, so the slope is negative.

2 down and over 3.

The line crosses the y-axis at positive 5, so the y-intercept is + 5.

• 3

• 1/3

• 6

• -6

The relations shown on the left are all linear functions.

Which one(s) have graphs that are lines going up and to the right?

• ii and iv

• i and iii

• iii

• i, iii, and iv

Which graph represents the table?

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Which graph represents the table?

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Find the missing y value.

Which table is correct for y=4x+3?

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^{What is the x- intercept of the line?}

• (1, 0)

• (2, 0)

• ( -1, 0)

• (-2, 0)

Name the x- and y-intercepts for the equation:
2x - y = 6

• (0, 3) and (-6, 0)

• (0, -3) and (-6, 0)

• (3, 0) and (0, -6)

• (-3, 0) and (0, -6)