use intercepts to graph the line described by each equation:
-6y = -4x + 24
I was told that the x intercept is 6
the y intercept is -4
Can you please explain to me how that's the answer
step by step please (baby steps)
Thank you
the line intercepts the y-axis when x is zero, and vice versa
plugging in zero for x ... y = -4
plugging in zero for y ... x = 6
To find the x-intercept, we set the value of y to 0 and solve for x. Similarly, to find the y-intercept, we set the value of x to 0 and solve for y. Let's go through the steps:
Step 1: Start with the equation: -6y = -4x + 24.
To find the x-intercept, we set y = 0.
Step 2: Substitute y = 0 into the equation: -6(0) = -4x + 24.
Simplifying the equation gives us:
0 = -4x + 24.
Step 3: Solve the equation for x.
To do this, we isolate x by moving the terms around:
4x = 24 (multiply -1 on both sides to eliminate the negative sign).
Divide both sides by 4:
x = 24/4.
Simplifying further, we have:
x = 6.
So, the x-intercept is x = 6.
To find the y-intercept, we set x = 0.
Step 4: Substitute x = 0 into the original equation: -6y = -4(0) + 24.
Simplifying the equation gives us:
-6y = 24.
Step 5: Solve the equation for y.
To do this, we isolate y by moving the terms around:
y = 24/(-6).
Simplifying further, we have:
y = -4.
So, the y-intercept is y = -4.
Therefore, the equation -6y = -4x + 24 has an x-intercept of 6 and a y-intercept of -4.