Question

Find the equation of the line.

Answer 1

Answer:

y = $-\frac{1}{3}x+5$

Step-by-step explanation:

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept of the line

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

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

If the points are (0, 5) and (-3, 6),

Slope of the line 'm' = $\frac{6-5}{-3-0}$

                                 = $-\frac{1}{3}$

y-intercept of the line 'b' = 5

Therefore, equation of the given line will be,

y = $-\frac{1}{3}x+5$