Answer:
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To find the x-intercept, substitute in 0 for y and solve for x.
Answer: both our A
Step-by-step explanation:
First let’s put 5x+2y = 12 into slope-intercept form.
2y = -5x + 12
y = (-5/2)x + 6
So any line that is parallel to y = (-5/2)x + 6 must have a slope of -5/2.
Our answer then is y = (-5/2)x + c
Now all that remains is to find out the value of c.
We know this line passes through the point (-2,4). Which means when x = -2, y = 4.
4 = (-5/2)(-2) + c
4 = 5+c
c = -1
Hence the line you want is y = (-5/2)x - 1
Since the question gave the line in standard form and didn’t ask for any particular form, let’s give the answer in the same form that the question asked.
2y = -5x - 2
5x + 2y = -2