Slove for slope and y- intercept
4x + 3y=8
Slope of the equation is y=mx+c
Convert given equation to this form
y=(-4/3)x +8/4 => y=(-4/3)x+2
slope of this is -4/3
Y-intercept of the equation is point where x value becomes zero.
put x=0 in the given equation
3y=8 => y=8/3
Y-intercept is 8/3
To find the slope and y-intercept of the equation 4x + 3y = 8, we can rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Solve the equation for y.
4x + 3y = 8
3y = -4x + 8
y = (-4/3)x + (8/3)
Step 2: Comparing the equation to y = mx + b, we can determine that:
- The slope, m, is -4/3.
- The y-intercept, b, is 8/3.
To find the slope and y-intercept of the equation 4x + 3y = 8, we need to rearrange the equation into slope-intercept form, which is y = mx + b. In this form, m is the slope and b is the y-intercept.
To do this, let's isolate the y term on one side of the equation:
4x + 3y = 8
Subtract 4x from both sides:
3y = -4x + 8
Now, divide both sides by 3 to solve for y:
y = (-4/3)x + (8/3)
From this equation, we can see that the slope is -4/3 and the y-intercept is 8/3.