find the slope and y-intercept
7x-4y=6
y=mx+b
7x-4y=5
y=7x/4-5/4
m=7/4b=-5/4 (?)
yes
To find the slope and y-intercept of the equation 7x - 4y = 6, we need to rearrange the equation in slope-intercept form (y = mx + b).
Step 1: First, isolate the y-term.
-4y = -7x + 6
Step 2: Divide both sides of the equation by -4 to solve for y.
y = (7/4)x - 6/4
Step 3: Simplify the equation.
y = (7/4)x - 3/2
Comparing the equation with y = mx + b, we can identify the slope and y-intercept.
The slope (m) is 7/4, and the y-intercept (b) is -3/2.
To find the slope and y-intercept of the equation 7x-4y=6, we need to rewrite it in the form y=mx+b, where m represents the slope and b represents the y-intercept.
Start by isolating the y-term in the equation:
7x-4y=6
-4y = -7x + 6
Divide the entire equation by -4 to solve for y:
y = (7/4)x - (6/4)
Simplify:
y = (7/4)x - (3/2)
Now we can see that the slope (m) is 7/4 and the y-intercept (b) is -3/2.
For the second equation, y = 7x/4 - 5/4, the slope (m) is 7/4 and the y-intercept (b) is -5/4. So you got it right!