Find the equation of a line that passes through the point (-5,4) and is perpendicular to 6x-36y
1 answer:
<u>Answer:</u>
<u>Explanation</u>
The given line is
where k is the missing constant from the given equation( this has no effect on the solution in anyway)
We solve for y to get;
The slope of this line after comparing to
y=mx+c is
The negative reciprocal is m=-6
The equation of the required line that passes through (-5,4) is given by
We multiply through by 6 to get:
We expand to get;
You might be interested in
Fist, in the equation y=mx+b, b is the y-intercept. The y-intercept is the poin on the line that crosses the x-axis; the y-intercept is the value of yThese equations follow that format.
Y=mx+b
y
3x-4. <-----In this equation, the slope(m)=3 b= -4.
On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.
The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.
For example, I'll choose to plug in (-4,4) into the y 3x-4.
y 3x-4.
(4) (3(-4))-4.
(4) (-12)-4.
(4) -16
So, this statement is true becasue -16 is less than positive 4. Therefore, the correct answer would be y 3x-4. Hope that helped! Comment back with any further questions!
Y=mx+b
y
On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.
The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.
For example, I'll choose to plug in (-4,4) into the y
y
(4)
(4)
(4)
So, this statement is true becasue -16 is less than positive 4. Therefore, the correct answer would be y