1. Find the slope and y-intercept for the equation 2y = -6x + 8.First solve for "y =": y = -3x + 4
Remember the form: y = mx + b
Answer: the slope (m) is -3
the y-intercept (b) is 43. Given that the slope of a line is -3 and the line passes through the point (-2,4), write the equation of the line. The slope: m = -3
The point (x1 ,y1) = (-2,4)
Remember the form: y - y1 = m ( x - x1)
Substitute: y - 4 = -3 (x - (-2))
ANS. y - 4 = -3 ( x + 2)
If asked to express the answer in "y =" form: y - 4 = -3x - 6
y = -3x - 2
2. Find the equation of the line whose slope is 4 and the coordinates of the y-intercept are (0,2).In this problem m = 4 and b = 2.
Remember the form: y = mx + b and that bis where the line crosses the y-axis.
Substitute: y = 4x + 2 4. Find the slope of the line that passes through the points (-3,5) and (-5,-8).First, find the slope:
Use either point: (-3,5)
Remember the form: y - y1 = m ( x - x1)
Substitute: y - 5 = 6.5 ( x - (-3))
y - 5 = 6.5 (x + 3) Ans.