Question

The points (1, 10) and (0, 2) fall on a particular line. What is its equation in slope-

Answer 1

Answer:

y = 8x + 2

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

By this formula, slope of a line passing through (1, 10) and (0, 2) will be,

m = $\frac{10-2}{1-0}$

m = 8

Equation of the line will be,

y = 8x + b

Since, this line passes through (0, 2),

2 = 8(0) + b

b = 2

Therefore, equation of the line will be,

y = 8x + 2