Answer:
<h3>The best interpretation of this equation 4x=3x is that the equation has no solution</h3>
Step-by-step explanation:
Given that Kate begins solving the equation
<h3>To find the best interpretation of the given equation :</h3><h3>Katie's steps are</h3>
When she adds 2 to both sides, the equation becomes
Therefore 
<h3>Therefore the given equation has no solution </h3><h3>The best interpretation of this equation 4x=3x is that the equation has no solution.</h3><h3>Therefore the option no solution is correct</h3>
Answer:
The equation would be y = -1/3x + 4
Step-by-step explanation:
The first step to finding this equation needs to be solving the first equation for y so that we can find the slope.
-3x + y = 1
y = 3x + 1
Now that we have the slope of 3, we know the slope of a perpendicular line would be -1/3. This is because perpendicular lines have opposite and reciprocal slopes. We can then use this and the point to solve in point-slope form.
y - y1 = m(x - x1)
y - 2 = -1/3(x - 6)
y - 2 = -1/3x + 2
y = -1/3x + 4
9y - 5x = 20
or, (9y - 5x) / 20 = 1
or, 9/20 y - 1/4 x = 1
compare with x/a + y/b = 1
you'll get
x intercept (a) = -4
y intercept (b) = 20/9
