Question

For questions 11-12, answer the questions about linear equations.

11. A line has a slope of 2 and a y-
intercept of (0, -4). What is the value
of y when x = 6?
12.
A line has a slope of -- and a y
intercept of (0, 3). What is the value
of ywhen x = 4?






Can you please show your work?

Answer 1

11 The equation of the line can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept. Substituting m = 2 and b = -4, we get:

y = 2x - 4

To find the value of y when x = 6, we can substitute x = 6 into the equation and solve for y:

y = 2(6) - 4 = 8

Therefore, the value of y when x = 6 is 8.

12 The equation of the line can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept. We are given that the slope is -- (which is equivalent to 1/2), and the y-intercept is (0,3). Therefore, the equation of the line is:

y = (1/2)x + 3

To find the value of y when x = 4, we can substitute x = 4 into the equation and solve for y:

y = (1/2)(4) + 3 = 5

Therefore, the value of y when x = 4 is 5.