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 [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By this formula, slope of a line passing through (1, 10) and (0, 2) will be,
m = [tex]\frac{10-2}{1-0}[/tex]
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
