Question

My question is on the pic Find the equation of the line

Answer 1

D. y = -5x + 3

Step-by-step explanation

The equation of a line in slope-intercept form is,

`y=mx+b`

Where m is the slope and b is the y-intercept.

In this graph, we can see that the y-intercept - which is the value of y where the line intersects the y-axis, is 3,

To find the slope, we will use the second point shown in the graph above. The formula to find the slope of a line passing through points (x₁, y₁) and (x₂, y₂) is,

`m=(y_1-y_2)/(x_1-x_2)`

Using the points (0, 3) and (1, -2),

`m=(3-(-2))/(0-1)=(3+2)/(-1)=-5`

Hence, the equation of the line is y = -5x + 3.