PSAT Math : Arcs and Intercept

Study concepts, example questions & explanations for PSAT Math

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Example Questions

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Example Question #26 :How To Find X Or Y Intercept

Where does the line given byy=3(x-4)-9intercept the-axis?

Possible Answers:

Correct answer:

Explanation:

First, put in slope-intercept form.

y=3x-21.

To find the-intercept, setand solve for.

Example Question #213 :Coordinate Geometry

Find the y-intercept of.

Possible Answers:

12

5

7

14

3

Correct answer:

7

Explanation:

To find the y-intercept, set x equal to zero and solve for y.

This gives y = 3(0)2+ 2(0) +7 = 7.

Example Question #214 :Coordinate Geometry

The slope of a line ism=\frac{4}{3}. The line passes through(2,7). What is the x-intercept?

Possible Answers:

(0,4.3)

(4\frac{1}{3},0)

(0,9\frac{2}{3})

None of the available answers

Correct answer:

Explanation:

The equation for a line is:

y=mx+b,或在这种情况下

y=\frac{4}{3}x+b

We can solve forbby plugging in the values given

7=\frac{4}{3}\times 2+b

7=2\frac{2}{3}+b

b=7-2\frac{2}{3}=4\frac{1}{3}

Our line is now

y=\frac{4}{3}x+4\frac{1}{3}

Our x-intercept occurs when\dpi{100} y=0, so plugging in and solving for\dpi{100} x:

\dpi{100} 0=\frac{4}{3}x+4\frac{1}{3}

\dpi{100} -\frac{13}{3}=\frac{4}{3}x

\dpi{100} x=-\frac{13}{4}

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