Question

Which equation matches the graph y=-1x+3 , y=1x, y1x+3, y=-1x can you guys tell me which equation matches the graph with explanation

Answer 1

Answer:

y = 1.x + 3

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

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

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

Since, y-intercept and x-intercepts are equal,

Let the given line passes through (0, 3) and (-3, 0),

Slope of the line (m) = $\frac{3-0}{0+3}$ = 1

y-intercept of the line 'b' = 3

Equation of the line will be,

y = 1.x + 3