Question

Work out the equation of the straight line shown
below.
Give your answer in the form y = mx + c, where
m and c are integers or fractions in their simplest
forms.

Answer 1

Відповідь:

To work out the equation of a straight line, we need to know the slope (m) and the y-intercept (c).

If we have the coordinates of two points on the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Once we have the slope (m), we can substitute one of the points and the slope into the equation:

y = mx + c

Let's say we have the points (x1, y1) and (x2, y2) on the line. We can calculate the slope using the formula:

m = (y2 - y1) / (x2 - x1)

Then, we can substitute one of the points and the slope into the equation:

y = mx + c

For example, let's say we have the points (2, 5) and (4, 9) on the line.

First, we calculate the slope (m):

m = (9 - 5) / (4 - 2)

m = 4 / 2

m = 2

Now, we substitute one of the points (let's use (2, 5)) and the slope (m) into the equation:

5 = 2(2) + c

Simplifying:

5 = 4 + c

Now, we solve for c:

c = 5 - 4

c = 1

Therefore, the equation of the straight line is:

y = 2x + 1