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

Question

asked Feb 12, 2023 178k views

1 Answer

Adam K Dean · Answer 1 · 2023-02-16T02:40:15+0000

Answer:

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.