Question

Write the equation of the line that has y-intercept of 4 and goes through the points (0,4) & (2.0) (Hint: use those points
to calculate slope first and write answer using y = mx + b)

Answer 1

Answer:

y = -2x + 4

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

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

Slope of a line passing through (0, 4) and (2, 0) will be,

m = $\frac{4-0}{0-2}$

   = -2

Y-intercept of the line 'b' = 4

Therefore, equation of the line will be,

y = -2x + 4