Find the equation of the line passing through the point (-1,2) and the points of intersections of the line 2x - 3y + 11 = 0 and
5x + y + 3 = 0​

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x is 0).

To solve for the equation of the line, we would need to:

1) Find the point of intersection between the two given lines

Isolate y in the second equation:

Plug y into the first equation:

Plug x into the second equation to solve for y:

Isolate y:

Therefore, the point of intersection between the two given lines is .

2) Determine the slope (m)

where two points that fall on the line are and

Plug in the two points and (-1,2):

Therefore, the slope of the line is -5. Plug this into :

2) Determine the y-intercept (b)

Plug in the point (-1,2) and solve for b:

Therefore, the y-intercept is -3. Plug this back into :

I hope this helps!

the answer is a

step-by-step explanation: