The slope and y-intercept of each is given as: 1. m = 3/2; b = 1.5. 2. m = -4/3; b = 3. 3. m = 5/2; b = 10.
How to identify the attributes of the graph?
In a graph, the slope represents the rate of change or steepness of a line, while the y-intercept is the point where the line crosses the y-axis. Given an equation in the slope-intercept form as y = mx + b, the slope is m while the y-intercept is b.
1. Slope (m) = change in y / change in x = 3/2
m = 3/2
y-intercept is 1.5, this is where the line cuts the y-axis.
2. Rewrite the equation in slope-intercept form: 4x + 3y = 9
3y = -4x + 9
Divide both sides by 3
y = -4/3x + 9/3
y = -4/3x + 3
The slope (m) = -4/3
The y-intercept (b) = 3
3. Using two points, we have:
Slope (m) = change in y / change in x = 10 - 5 / 0 - (-2)
m = 5/2
The y-intercept is 10 (x = 0, when y = 10).