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