Line t passes through (4, 5) and is perpendicular to the line shown on the coordinate grid.
a coordinate plane with a line passing through two points at 0 comma 3 and 7 comma 2
what is the equation of line t in standard form?
x − 7y = −161
7x − y = 23
−7x − y = 23
x + 7y = 161

7x − y = 23

Step-by-step explanation:

The equation of line shown using the two points would be:

We know perpendicular line's slope (the number before x) would be "negative reciprocal of this, hence the equation of the perpendicular line would take the form:

Since it goes through (4,5), we can plug in 4 in x and 5 in y to figure out b:

So the equaiton is  y = 7x - 23

In standard form it is: 7x - y = 23

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.