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Chapter 13: Q. 23 (page 533)

A line with slope passes through points (2, 3) and (10, ?).

Short Answer

Expert verified

A line with slope34 passes through points (2, 3) and (10, 6).

Step by step solution

01

Step-1 – Given

A line with slope34 passes through points (2, 3) and (10, ?).

02

Step-2 – To determine

We have tofind the unknowny coordinate of the given point.

03

Step-3 – Calculation 

The slope formula for two pointsx1,y1andx2,y2is:

m=y2−y1x2−x1

The given points are (2, 3) and (10, ?).

Let = the unknown y coordinate

So,

m=y2−y1x2−x134=y2−310−234=y2−3824=4y2−324=4y2−124y2=36y2=6

Hence, the unknowny coordinate is 6.

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Most popular questions from this chapter

In Exercises 16-19 a point P on a line and the slope of the line are given. Sketch the line and find the coordinates of two other points on the line.

17. P(-3, 0); slope =25.

A wheelchair ramp is to be built at the town library. If the entrance to the library is 18 in. above ground, and the slope of the ramp is, how far out from the building will the ramp start?

In Exercises 4-9 state:

a. the coordinates of T.

b. the lengths of the legs of the right triangle.

c. the length of the segment shown.

Find the distance between the two points. If necessary, you may draw graphs but you shouldn’t need to use the distance formula.

  1. (2, -3) and (2, 4)

Tell whether each expression is positive or negative for the line shown:

a.  y2−y1b.  x2−x1c.  y2−y1x2−x1
See all solutions

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