Which equation has the same y-intercept as [tex]y = 4x - 3[/tex]?

A. [tex]y - 3 = x[/tex]
B. [tex]y = 8x + 3[/tex]
C. [tex]3 - y = 4x[/tex]
D. [tex]y = -3 + 8x[/tex]

Which of the following is the equation of the line that has the same slope as [tex]y = -\frac{3}{2}x + 2[/tex] and the same y-intercept as [tex]y = 3x - 2[/tex]?

F. [tex]y - 2 = -\frac{3}{2}x[/tex]
G. [tex]-\frac{3}{2}x = y + 2[/tex]
H. [tex]y + 2 = -\frac{3}{2}x[/tex]
J. [tex]-\frac{3}{2}x = y + 3[/tex]

The first one is D. Y=-3+8x The second one is G. -3/2x=y+2

Answered by wacko37 | 2024-06-10

The** y-intercept** of y = 4x - 3 is -3 **same **as in (D) and **slope **of y = -(3/2)x + 2 is -3/2 and **y-intercept **of y = 3x - 2 is 3 **same **as in (G).
What is the equation?
There are many different ways to define an equation . The definition of an equation in **algebra **is a **mathematical statement **that demonstrates the equality of 2 mathematical expressions .
Given the equation ,y = 4x - 3
**Coordinate **of y-intercept is given by (0,y)
⇒ y = 4(0) - 3
y = -3
Now in the option (D) y = -3 + 8x
y-intercept = y = -3
The **slope-intercept **form of an equation is y = mx + c by **comparing **y = -(3/2)x + 2 it is -3/2 which is **present **in equation y = 3x - 2 and y-intercept of y=3x-2 is -2 **same **as y = 3x - 2 in option (G).
Hence "The** y-intercept** of y = 4x - 3 is -3 and **slope **of y = -(3/2)x + 2 is -3/2 and **y-intercept **of y = 3x - 2 is 3 ".
For more about the equation ,
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Answered by keshavgandhi04 | 2024-06-16

The equation with the same y-intercept as y = 4 x − 3 is D. y = − 3 + 8 x . The equations for the slope of − 2 3 ​ and y-intercept of -2 can be represented by G and H. Both G and H are equivalent forms of the desired equation.
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Answered by wacko37 | 2024-09-30