The x-intercepts and slopes of 18y = -3x + 4 and 4/3 x - 5 = 3y are -1/6, (0, 2/9), (4/3, 0) and 4/9, (0, -4/3) and (3, 0) respectively
Intercepts and slope of a line
A line is defined as the shortest distance between two points. The equation of a line in slope-intercept form is expressed as;
y = mx +b
where
m is the slope
b is the y-intercept
For the equation 3x + 18y = 4
18y = -3x + 4
y = -1/6x +2/9
Slope = -1/6
y-intercept =(0, 2/9)
For the x-intercept;
18(0) = -3x + 4
3x = 4
x = 4/3
The x-intercept of the line is (4/3, 0)
For the equation 4/3 x - 5 = 3y
3y = 4/3 x - 4
y = 4/9 x - 4/3
The slope = 4/9
y-intercept = (0, -4/3)
For the x-intercept
3(0) = 4/3 x - 4
4/3 x = 4
x = 3
The x-intercept of the line will be (3, 0)
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