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Chapter 13: Q31. (page 534)

A line intersects the x- axis at a 45° angle.

What is its stope?

Short Answer

Expert verified

We showed thattan∠A=slopeofAC¯ .

Step by step solution

01

Step-1 – Given

Given that a line intersects the x-axis at a45∘ angle.

02

Step-2 – To determine

We have to find the slope of the line.

03

Step-3 – Calculation 

We know that, the slope of a line is defined as “the tangent of the angle which the line makes with positive direction of thex−axisin the anticlockwise direction”.

So,slope=tanθ=tan45°=1.

Hence, the slope of line is 1.

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Most popular questions from this chapter

Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear?

If so, which point lies between the other two?

15. A(-5, 6), B(0, 2), C(3, 0)

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)

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.

Find the slope and length of AB.

A(3, -1), B(5, -7)

Use the distance formula to find the distance between the two points.

  1. (-6, -2) and (-7, -5)
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