What is the equation of the line that passes through the given pair points in slope-intercept form?
a. (2, 5.1) and (−1, −0.5)
b. (−2, 3) and (3, −4)

a. The equation of the line is

b. The equation of the line is

The general equation of the line in slope-intercept form is:

y = mx + c

where m is the slope and c is the y-intercept

1. To get the slope:

where (x₁ , y₁) and (x₂ , y₂) are two points that belong to the line

2. To get the y-intercept:

We pick any point (x , y) that belong to the line and use this point to substitute in the general equation:

y = mx + c

m is calculated from part 1 and (x , y) is a known point on the line. So, we solve for c which is the only unknown.

Now, for the required lines:

Part a:

The two given points are (2, 5.1) and (-1, -0.5)

representing (x₁ , y₁) and (x₂ , y₂)

i. Getting the slope:

ii. Getting the y-intercept:

I will use the point (-1, -0.5)

y = mx + c

iii. Based on the above calculations, the equation of the line is:

Part b:

The two given points are (-2, 3) and (3, -4)

representing (x₁ , y₁) and (x₂ , y₂)

i. Getting the slope:

ii. Getting the y-intercept:

I will use the point (3, -4)

y = mx + c

iii. Based on the above calculations, the equation of the line is:

Hope this helps :)

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.