Question

Write an equation of the line. The line passes through point (0,-3) an is parallel to a line with slope 1.2.

Also write an equation for the line. The line passes through point (4,0) and has slope .5

Answer 1

Answer:

1.  y = 1.2x - 3

2.  y = 0.5x - 2

the full equation is y = 0.5x - 2

Step-by-step explanation:

Case 1:  Since both the y-intercept and the slope are given, we can immediately write out the equation of this line, beginning with the slope-intercept equation y = mx + b:

y = 1.2x - 3

Case 2:  Again starting with y = mx + b:  Substitute 4 for x, 0 for y and 0.5 for m and calculate b:

0 = 0.5(4) + b, or

0 = 2 + b

Then b = -2, and the full equation is y = 0.5x - 2