Answer:
y = (-3/2)x + 7
Step-by-step explanation:
3x + 2y = -4 (rearrange to slope intercept form y = mx + b)
2y = -3x - 4
y = (-3/2) x - 2
comparing this to the general form of a linear equation : y = mx + b
we see that slope of this line (and every line that is parallel to this line),
m = -3/2
if we sub this back in to the general form, we get:
y = (-3/2)x + b
We are still missing the value of b. To find this, we are given that the point (4,1) lies on the line. We simply substitute this back into the equation and solve for b.
1 = (-3/2)4 + b
1 = -6 + b
b = 7
substituting this back into the equation:
y = (-3/2)x + 7
Answer:
The y-intercept is (0,-26)
Step-by-step explanation:
Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression

We'll take the first two points P(34,-52) and Q(51,-65) to find

Let's verify if the third point is on the line:

It belongs to the line. To find the y-intercept of the line, we set x to 0

The y-intercept is (0,-26)
Answer: x = -3
set them equal to each other and reverse pemdas as shown in my image
The -3 would be where your line crosses the y-axis, so you would plot your point at -3. your slope will always be counted as rise/run, basically meaning you would count along the y-axis a certain amount of times, in this case -1, and along the x-axis a certain amount of times, here would be three. your next plot point would be (3,-4) and so on. hope this helped!