what is the y and x intercept for -4x + y = 3 help please thank you in advance
-4X + Y = 3. Let x = 0 and solve for Y.
-4*0 + Y = 3
Y = 3 = Y-Int.
Let y = 0 and solve for x.
-4X + 0 = 3
X = -3/4 = X-int.
To find the x-intercept, we set y = 0 and solve for x.
Given: -4x + y = 3
Step 1: Substitute y = 0 into the equation.
-4x + 0 = 3
Step 2: Simplify and solve for x.
-4x = 3
Divide both sides by -4:
x = 3 / -4
x = -3/4
So, the x-intercept is -3/4.
To find the y-intercept, we set x = 0 and solve for y.
Given: -4x + y = 3
Step 1: Substitute x = 0 into the equation.
-4(0) + y = 3
Step 2: Simplify and solve for y.
y = 3
So, the y-intercept is 3.
Therefore, the x-intercept is -3/4 and the y-intercept is 3.
To find the y-intercept, substitute x = 0 into the equation and solve for y.
So, to find the y-intercept of the equation -4x + y = 3:
Step 1: Substitute x = 0 into the equation:
-4(0) + y = 3
Step 2: Simplify and solve for y:
0 + y = 3
y = 3
Therefore, the y-intercept is 3, which means the equation intersects the y-axis at the point (0, 3).
Now, to find the x-intercept, substitute y = 0 into the equation and solve for x.
So, to find the x-intercept of the equation -4x + y = 3:
Step 1: Substitute y = 0 into the equation:
-4x + 0 = 3
Step 2: Simplify and solve for x:
-4x = 3
x = -3/4
Therefore, the x-intercept is -3/4, which means the equation intersects the x-axis at the point (-3/4, 0).
In summary, the y-intercept is 3 (point: (0, 3)) and the x-intercept is -3/4 (point: (-3/4, 0)).