Question

On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).

Which describes Kelsey’s error?
Kelsey graphed the y-intercept on the x-axis.
Kelsey graphed –3 instead of 3 as the y-intercept.
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Mark this and return

Answer 1

Kelsey graphed the y-intercept on the x-axis.

Explanation:

A line on a coordinate plane is defined by two points, and can be expressed by the equation y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point at which the line crosses the y-axis.

The slope of the line can be calculated by using the formula:

m = (y2 - y1) / (x2 - x1)

In this case, the coordinates of the two points are (negative 3, 0) and (0, 3). Plugging these values into the formula, we get:

m = (3 - 0) / (0 - (-3)) = 3 / 3 = 1

So, the slope of the line is 1.

The y-intercept is the point at which the line crosses the y-axis, so it has an x-coordinate of 0. The y-coordinate of the y-intercept can be found by plugging the coordinates of one of the points and the slope into the equation of the line:

y = mx + b

Substituting the values we know:

y = 1 * 0 + b

This simplifies to:

y = b

So, the y-coordinate of the y-intercept is the same as the y-intercept, which is b.

Since Kelsey graphed the y-intercept on the x-axis, this means that Kelsey made an error in either calculating or interpreting the y-intercept of the line.