(04.02 MC) 4
What is the y-intercept of the line perpendicular to the line y = x + 1 that includes the point (4, 1)?

The intercept of the line perpendicular to the line is 5.

Step-by-step explanation:

The line has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:

(1)

Where:

- Slope of the original line.

- Slope of the line perpendicular to the original line.

If we know that , then the new slope is:

A line is defined by the following expression:

(2)

Where:

- Independent variable.

- Dependent variable.

- Slope.

- Intercept.

If we know that and , then the intercept of the line perpendicular to the original line:

The intercept of the line perpendicular to the line is 5.

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.