Question

Adrienne graphs the line y-x=7. At what point will the line intersect the y-axis? at the point =(_,_)

Answer 1

The line y - x = 7 intersects the y-axis at the point (0, 7), which represents the y-intercept of the line.

Step-by-step explanation:

To determine the point at which the line y - x = 7 intersects the y-axis, we need to find the y-coordinate when the x-coordinate is 0. At the y-intercept, the general form y = mx + b reflects that x equals zero.

To find this, we plug in x = 0 into the equation to get:

y - 0 = 7
y = 7

So, the line y - x = 7 intersects the y-axis at the point (0, 7). This point is referred to as the y-intercept. The line graph about slope and algebra of straight lines in figure A1 states that the y-intercept is the point where the line intersects the y-axis. In this case, that point is (0,7).

Answer 2

Problem: Adrienne graphs the line y-x=7. At what point will the line intersect the y-axis? at the point =(_,_)​

Solution:

Consider the line

`y\text{ - x = 7}`

solving for y, this is equivalent to:

`y\text{ = x+7}`

the line intersects the y-axis, when x = 0, thus replacing x= 0 into the above equation we get:

`y\text{ = 0+7 = 7}`

then, we can conclude that the line intersects the y-axis at the point:

`(x,y)\text{ = (0,7)}`