Answer:
[tex]y=-3x-2[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
Given:
Equation of line: [tex]y=-3x+4[/tex]
If the line is translated -4 units along the axis, we need to substitute
[tex]x \rightarrow (x+4)[/tex]
If the line is translated 6 units along the y-axis, we need to add 6 to the equation:
[tex]\implies y=-3(x+4)+4+6[/tex]
[tex]\implies y=-3(x+4)+10[/tex]
[tex]\implies y=-3x-12+10[/tex]
[tex]\implies y=-3x-2[/tex]
Answer:
y = -3x - 2
Step-by-step explanation:
Rules to remember :
Standard form of the original equation
Translating -4 units along the x-axis
Translating 6 units along the y-axis