Question

The y-intercept of the graph of a line is (-2). The line also passes through the point (5, 1).

Answer 1

y = 3/5 x - 2

Explanation:

To find the equation of the line, calculate the slope using two points. With the slope and one point, substitute them into the point slope form and simplify as needed.

Use the points (5,1) and (0, -2) since -2 is the y-intercept.

Slope =
`(y_2-y_1)/(x_2-x_1)=(1--2)/(5-0)=(3)/(5)`

y - -2 = 3/5 (x - 0)

y + 2 = 3/5(x)

y = 3/5 x - 2