Question

Type an equation for the line shown in the graph points: (-3,3)(3,-1)

Answer 1

To write the equation of a line first find its slope, use the next formula:

`m=(y_2-y_1)/(x_2-x_1)`
`m=(-1-3)/(3-(-3))=(-4)/(6)=-(2)/(3)`

slope: -2/3

Identify the y-intercept: y-value when the line crosses the y-axis:

y-intercept: 1

Write the equation in slope-intercept form (y=mx+b, m is the slope, b is the y-intercept):

`y=-(2)/(3)x+1`

Answer: y=-2/3 x+1