Answer:
y=1/8-3
Step-by-step explanation:
The slope is 1/8 and the y-intercept is (0,-3)
The slope and y-intercept of the equation 2x - 16y = 48 are 1/8 and -3 respectively; and the slope and y-intercept form of the straight line is y = (1/8)x - 3.
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The equation of the line is:
2x - 16y = 48
As we know, the slope and y-intercept form of the straight line is:
y = mx + c
Here m is the slope of the line
c is the y-intercept
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
2x - 16y = 48
16y = 2x - 48
Divide by 16 on both sides:
y = (2/16)x - 48/16
y = (1/8)x - 3
On comparing with the standard equation:
m =1/8
c = -3
Thus, the slope and y-intercept of the equation 2x - 16y = 48 are 1/8 and -3 respectively; and the slope and y-intercept form of the straight line is y = (1/8)x - 3.
Learn more about the straight line here:
brainly.com/question/3493733
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