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Answer:
y = 3x - 6
Step-by-step explanation:
The slope-intercept form of a linear equation is given by:
y = mx + b
m = the slope
b = y-intercept
Using the point-slope form of the equation:
y - y₁ = m(x - x₁)
y - 6 = 3(x - 4)
y - 6 = 3x - 12
y = 3x - 6
So, the answer is y = 3x - 6.
Answer:
Step-by-step explanation:
We're asked to write the equation of the line in slope-intercept form.
We're given that the line passes through (4,6) and has a slope of 3.
So let's write its equation. First, I'm going to use the point-slope formula.
[tex]\bf y-y_1=m(x-x_1)[/tex]
Where:
Substitute the values:
[tex]\sf y-6=3(x-4)[/tex]
[tex]\sf y-6=3x-12[/tex]
Add 6 to both sides.
[tex]\sf y=3x-12+6[/tex]
[tex]\sf y=3x-6[/tex]
Therefore, the line's equation is: y = 3x - 6.