(-1,19) and (3, 35)
how do i turn this into an equation in standard form for the line that passes through these points

Step-by-step explanation:

First, find the rate of change [slope]:

Then, plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:

35 = 4[3] + b

12

Then convert to Standard Form:

y = 4x + 23

- 4x - 4x

__________

_______________________________________________

19 = 4[−1] + b

−4

Then convert to Standard Form:

y = 4x + 23

- 4x - 4x

__________

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.