Answer:
9x+2y=-10
Explanation:
First, we would need to organize the information given into slope-intercept form.
Slope-intercept form: y=mx+b
Here’s what the variables mean:
Y=the y coordinate
M=the slope
X=the x coordinate
B=the y-intercept (the point on the line that intercepts the y-axis)
When a linear equation in slope-intercept form is complete, the x and y variables are left just as they are. Knowing this, we just have to plug in the values given for the coordinate and solve for b, the y-intercept.
(-2,4),
y=mx+b
4=m(-2)+b
4=-2(-9/2)+b
4=9+b
Subtract 9 on both sides
4-9=9+b-9
-5=b
Awesome! Now, we know that the equation in slope-intercept form is:
y=-9/2x-5
To organize it into standard form, we need to move some things around.
Standard form: Ax+By=C
(A, B and C don’t have any kind of direct interpretation on a graph.)
y=-9/2x-5
Move the x variable to the other side
9/2x+y=-9/2x-5+9/2
9/2x+y=-5
It may look like we’ve finished here, but A, B and C need to be integers, meaning we cannot have any fractional values in these places.
9/2x+y=-5
Multiply both sides by 2 since it is the denominator
9x+2y=-10
I hope this helps! Please comment if you have any questions.
