Question

Write the equation of each line described below: Homework Helpa. A line that goes through the points (-7, 10) and (1, 4).3b. A line with a slope of-that passes through the point (–14, 4)4.c. A line with a slope of o that passes through the point (6, -11).

Answer 1

B) The slope intercept form of the equation of a line is expressed as

y = mx + c

where

m = slope

c = y intercept

From the information given,

m = - 3/4

It passes through x = - 14 and y = 4

To find the y intercept, c, we would substitute m = - 3/4, x = - 14 and y = 4 into the slope intercept equation. We have

4 = - 3/4 * - 14 + c

4 = 21/2 + c

Subtracting 21/2 from both sides of the equation,

4 - 21/2 = 21/2 - 21/2 + c

c = - 13/2

We would substitite m = - 3/4 and c = - 13/2 into the slope intercept equation. Therefore, the equation of the line is

y = - 3x/4 - 13/2