1. Write the equation of the line with the given slope and y-intercept
a) m=3/8 and b=6
Answer: y=3/8x +6
b) m=-2 and b=11
Answer: y=-2x+11
c) m=0 and b=6
Answer: y=x+6
Correct?
c) is not correct
your answer would have m = 1
equation should be
y = 0x + 6 , which gives us
y = 6
Great! Thanks
Yes, your answers are correct.
To find the equation of a line given the slope (m) and the y-intercept (b), we can use the slope-intercept form of a linear equation, which is y = mx + b.
For example, in part a) where m = 3/8 and b = 6, we substitute these values into the slope-intercept form:
y = (3/8)x + 6
This equation represents a line with a slope of 3/8 and a y-intercept of 6. Similarly, you can apply the same process for the other parts b) and c) to get the respective equations.
Remember that the slope (m) represents the steepness of the line, and the y-intercept (b) represents the point where the line crosses the y-axis. Plugging these values into the slope-intercept form will give you the equation of the line.