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. S 4 3 2- 1 -6 -5 -4 -3 -2 -10 -1. --2- --3- 34 -4- 1 2 3 4 5 6 x​

Answer 1

Explanation:

To work out the equation of the straight line, we need to determine the slope (m) and the y-intercept (c) in the form y = mx + c. We can use the given points (-3, -5) and (4, 3) to calculate the slope.

The slope (m) can be calculated using the formula:

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

Using the points (-3, -5) and (4, 3):

m = (3 - (-5)) / (4 - (-3))

m = 8 / 7

So, the slope (m) is 8/7.

Now that we have the slope, we can use one of the given points to find the y-intercept (c). Let's use the point (-3, -5):

y = mx + c

-5 = (8/7)(-3) + c

-5 = -24/7 + c

To solve for c, add 24/7 to both sides:

c = -5 + 24/7

c = -35/7 + 24/7

c = -11/7

So, the equation of the straight line is:

y = (8/7)x - 11/7