Question

A line with a slope of 8 goes through the point (2, 27). It also goes through the point (-2,p). What is the value of p?.

Answer 1

Answer:

The value of p is -5.

Step-by-step explanation:

Given the slope and a known point, you have 3 of the 4 variables and you can use them to solve for the y-intercept of the line.

$y=mx+b\\(27)=(8)(2)+b\\27=16+b\\11=b\\b=11$

Now, with the slope and the y-intercept, you can write the equation of the line:

$y=8x+11$

Finally, you can use that equation to solve for y at x = -2:

$y=8(-2)+11\\y=-16+11\\y=-5$

The value of p is -5.

You can also see that on a graph.