When writing an ordered pair in the Cartesian plane, which coordinate is written first and what does it represent?

Given y = 2x + 3, find x when y = -7.

Consider the equation 2x - y = 4. Determine which of the following ordered pairs satisfy the equation: (3,2), (4,4), (5,6), (2,0). Choose the best single answer.

Which coordinate must always be zero for the y-intercept of a line?

You are asked to graph the equation 2x - y = 4 using intercepts. Which set of points should you plot and then connect to produce the correct line?

A household budget constraint is given by $40x+25y=2000$, where $x$ is quantity of good A and $y$ is quantity of good B in dollars spent. Using intercepts, determine how much of good A can be purchased if the household spends nothing on good B.

On a grid you identify two grid points on a line at coordinates $(2,-1)$ and $(6,3)$. Using rise divided by run, what is the slope?

Which form of equation represents a horizontal line, and why does that form correspond to a slope of zero?

An engineer must ensure a pipe follows a line with slope $-\frac{1}{4}$ that passes through the point $(8,4)$. She begins plotting the line starting at the given point $(8,4)$. Using the slope, she moves three runs to the left, where the denominator of the slope represents the run and one run equals $4$ units. What is the coordinate of the new point?

In the equation y = mx + b for a line, which statement correctly describes m and b?

Rewrite 4x - 2y = 6 in slope-intercept form y = mx + b.

Convert $y-\frac{3}{2}=\frac{4}{3}(x+\frac{1}{3})$ into slope-intercept form $y=mx+b$.