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