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Find the gradient y-intercepts. a) y=3x−2 b) y=2x+4=0 c) x+y=0 d) y=-3x+6 e) x−y=0 f) 3x+y=2 g) x−y=2 h) y-(2x-2)
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Step-by-step solution
16 stepsHere are the solutions for finding the gradient and y-intercept for each equation. The general form of a linear equation is , where is the gradient and is the y-intercept.
Part a· 2 steps
The equation is already in the form .
Identify the gradient and y-intercept.
The gradient is .
The y-intercept is .
Gradient:
Y-intercept:
Part b· 2 steps
Assuming the intended equation is .
The equation is already in the form .
Identify the gradient and y-intercept.
The gradient is .
The y-intercept is .
Gradient:
Y-intercept:
Part c· 2 steps
Rearrange the equation into form.
Identify the gradient and y-intercept.
The gradient is .
The y-intercept is .
Gradient:
Y-intercept:
Part d· 2 steps
The equation is already in the form .
Identify the gradient and y-intercept.
The gradient is .
The y-intercept is .
Gradient:
Y-intercept:
Part e· 2 steps
Rearrange the equation into form.
Identify the gradient and y-intercept.
The gradient is .
The y-intercept is .
Gradient:
Y-intercept:
Part f· 2 steps
Rearrange the equation into form.
Identify the gradient and y-intercept.
The gradient is .
The y-intercept is .
Gradient:
Y-intercept:
Part g· 2 steps
Rearrange the equation into form.
Identify the gradient and y-intercept.
The gradient is .
The y-intercept is .
Gradient:
Y-intercept:
Part h· 2 steps
Assuming the intended equation is .
The equation is already in the form .
Identify the gradient and y-intercept.
The gradient is .
The y-intercept is .
Gradient:
Y-intercept:
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