Question

Find the equation of line (use exact numbers)​

Answer 1

`y=3x+3`

Explanation:

Use the slope-intercept form:

`y=mx+b`

m is the slope and b is the y-intercept. The y-intercept is the place where x is equal to 0, and the slope is the change in the y-axis over the change in the x-axis, otherwise known as rise over run (
`(rise)/(run)` ).

If you study the graph, you can see that the line crosses the y-axis at (0,3), so 3 is the y-intercept. Insert into the formula:

`y=mx+3`

Now find the slope. Use the slope formula:

`(y_(2)-y_(1))/(x_(2)-x_(1))=(rise)/(run)`

You need two points first. You can use the y-intercept (0,3) and another even point, like (1,6). Insert the values:

`(0_(x1),3_(y1))\\(1_(x2),6_(y2))\\\\(6-3)/(1-0)=(3)/(1)=3`

The slope is 3. Insert this value:

`y=3x+3`

:Done