Question

select the correct y- intercept to write the equation of the line with slope-2/3 that passes through the point (-6,5).​

Answer 1

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

Explanation:

1. common form of slope-interception form is:

y=(slope)*x-interception;

Then

`2. \ y=-(2)/(3) x+interception;`

3. in order to calculate the 'interception' is it needed to substitute the given coordinates into this non-completed equation:

`5=-(2)/(3) *(-6)+interception; \\interception=1;`

4. finally, the required equation is:

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