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Name: Period: Date:

ALGEBRA 2 QUIZ : LINEAR EQUATIONS FLINCTIONS & RELATIONS Evaluate each function for the given valua, f eD if f (d A,xB + 612 + 3x

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f(s)

ir f (x) = lxz

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4x'

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The study gurde below is provided as a refresher and review of what you should already know about linear equations. Study exarnples la) and lb) and apply the solution processes demonstrated in these examples to the next problem set as a part of this quiz.

Study Guide Writlng Lineor Equotions The form in which you write an equation of a line depends on the information you are given. Given the slope and y-intercept, or gr.tren the slope and one point_on the line, the stope.inter"ept form can be used to write the equation.

Example

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.

Write an equation in slope-intercept form for each line described

a, a slope of fi and a y'intercept of -5 Substitute $ for m and, -5 for b in the general

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slope-intercePt form.

!-rnr*b -') y:+"-5,

The slope-intercept form 9f the equation of the line i, y_= p - S.

b. a slope of 4)nd passes through the point at (-2,3) Substitute the slope and coordinates of the point in the general slope-intercept form of a linear equation. Then solve for b.

'rl,fthu. :

Ll

b

u

The y-intercept

sulbstitute -z for r, 3 for y, and,4 for m. Add I to both sid,es of the equation.

is U. Ttrus, the equation for the line is y =

4tc

+L7.

...+,;..

Writing Lineor €quoilons Write an equatlon In slops-intercept form for each lina descrlbed, ,slope * -4,y-intercept: B &

($,

slope =

3,

y-intercept =

f

S

/--. \

@

,tone

-

-4,passes through B(S, B)

slope

W

slope

:

stone

:

0, passes through G(B, Z)

-2,y-intercept =

5, passes through

9. The coordinates

$,.

*

A(-8,

of two points of a line are (2,9) and (1,7). Find the slope ofthe line passing through the two points.

Z)

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