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SAT Math : Other Lines

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Example Question #21 : How To Find The Equation Of A Line

Find the equation of a line that goes through the points (0,3) , and (-10,4) .

Possible Answers:

y=-10x

y=-10x+3

$y=-\frac{1}{10}x+3$

y=-13x

$y=-\frac{1}{10}x$

Correct answer:

$y=-\frac{1}{10}x+3$

Explanation:

For finding the equation of a line, we will be using point-slope form, which is

y-y_0=m(x-x_0) , where is the slope, and (x_0, y_0) is a point.

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-3}{-10-0}=\frac{1}{-10}=-\frac{1}{10}$

We will pick the point (0,3)

$y-3=-\frac{1}{10}(x-0)$

$y=-\frac{1}{10}x+3$

If we picked the point (-10,4)

$y-4=-\frac{1}{10}(x+10)$

$y=-\frac{1}{10}x-1+4$

$y=-\frac{1}{10}x+3$

We get the same result

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Example Question #21 : How To Find The Equation Of A Line

Find the equation of a line that passes through the point (-2,5) , and is parallel to the line y=-3x+4 .

Possible Answers:

y=-3x-3

y=-3x+1

y=-3x-1

y=-3x-10

y=-3x

Correct answer:

y=-3x-1

Explanation:

Since we want a line that is parallel, we will have the same slope as the line (-3) . We can use point slope form to create an equation.

y-y_0=m(x-x_0) , where is the slope and (x_0, y_0) is a point.

y-5=-3(x-(-2))

y-5=-3(x+2)

y-5=-3x-6

y=-3x-1

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Example Question #21 : Geometry

Find the equation of the line shown in the graph below:

Sat_math_164_05

Possible Answers:

y = -1/2x + 4

y = x/2 + 4

y = 2x + 4

y = -1/2x - 4

Correct answer:

y = x/2 + 4

Explanation:

Based on the graph the y-intercept is 4. So we can eliminate choice y = x/2 - 4.

The graph is rising to the right which means our slope is positive, so we can eliminate choice y = -1/2x + 4.

Based on the line, if we start at (0,4) and go up 1 then 2 to the right we will be back on the line, meaning we have a slope of (1/2).

Using the slope intercept formula we can plug in y= (1/2)x + 4.

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SAT Math : Other Lines

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #21 : How To Find The Equation Of A Line

Example Question #21 : How To Find The Equation Of A Line

Example Question #21 : Geometry

All SAT Math Resources

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