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Understanding Linear Equations and Gradients

Understanding Linear Equations and Gradients

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This tutorial explains how to find the equation of a line given a gradient and a point. It begins by introducing the equation of a line, y = mx + c, where m is the gradient and c is the y-intercept. The tutorial then demonstrates how to substitute the given gradient and point into the equation to find the y-intercept. Finally, it shows how to write the complete equation of the line.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of this tutorial?

Finding the equation of a line given a gradient and a point

Solving quadratic equations

Finding the area of a triangle

Calculating the volume of a cylinder

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of the equation of a straight line?

y = ax + b

y = x^2 + 2x + 1

y = mx + c

y = ax^2 + bx + c

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation y = mx + c, what does 'm' represent?

The gradient

The y-intercept

The constant term

The x-intercept

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the 'c' in the equation y = mx + c represent?

The x-intercept

The slope

The gradient

The y-intercept

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the y-intercept in the graph of a line?

It is the lowest point on the line

It is the highest point on the line

It is where the line crosses the y-axis

It is where the line crosses the x-axis

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the gradient given in the problem?

3

5

4

2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial form of the equation after substituting the gradient?

y = 2x + c

y = 3x + c

y = 5x + c

y = 4x + c

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