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PSAT Math : Arcs and Intercept

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Example Question #172 : Psat Mathematics

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

Possible Answers:

$\frac{4}{3}$

Correct answer:

Explanation:

First, put in slope-intercept form.

y = 3x-12-9

$y=3x-21$ .

To find the -intercept, set y=0 and solve for .

0=3x-21

3x=21

x=7

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Example Question #213 : Coordinate Geometry

Find the y-intercept of y = 3x^2 +2x + 7 .

Possible Answers:

Correct answer:

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.

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Example Question #11 : How To Find X Or Y Intercept

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

Possible Answers:

$\left ( -3\frac{1}{4},0\right )$

$(0,4.3)$

None of the available answers

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

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

Correct answer:

$\left ( -3\frac{1}{4},0\right )$

Explanation:

The equation for a line is:

$y=mx+b$ , or in this case

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

We can solve for $b$ by 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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PSAT Math : Arcs and Intercept

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #172 : Psat Mathematics

Example Question #213 : Coordinate Geometry

Example Question #11 : How To Find X Or Y Intercept

All PSAT Math Resources

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