Question

write the slope intercerp form of the queation of the line trought the given pointsi know the explication

Answer 1

To find the equation of the line that passes through the points (2, 4) and (0, 1), we have to find the slope of the line using the rule

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

Let x1 = 2 and y1 = 4

Let x2 = 0 and y2 = 1

$\begin{gathered} m=\frac{1-4}{0-2} \\ m=\frac{-3}{-2} \\ m=\frac{3}{2} \end{gathered}$

The form of the slope-intercept is

$y=mx+b$

b is the y-intercept (value y at x = 0)

Since at x = 0, y = 1

Then the y-intercept is 1

b = 1

The equation is

$y=\frac{3}{2}x+1$

The slope is 3/2