The equation of a certain line, when written in general form, is 5x+3y+7=0 . The slope of the line is m , the y-intercept of the line is b , and
x-interept of the line is x1 . what is the Value of m*b*x1 ?
y = -5/3 x - 7/3
5(x1) = -7
So, now you have m,b and x1
To find the values of m, b, and x1, we first need to convert the given equation into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
The general form equation given is: 5x + 3y + 7 = 0
First, rearrange the equation to isolate the y-term on one side:
3y = -5x - 7
Then divide both sides of the equation by 3 to obtain the equation in slope-intercept form:
y = (-5/3)x - 7/3
Comparing this equation to the slope-intercept form (y = mx + b), we can identify that the slope (m) is -5/3 and the y-intercept (b) is -7/3.
Next, to find the x-intercept (x1), substitute y = 0 into the original equation and solve for x:
5x + 3(0) + 7 = 0
5x + 7 = 0
5x = -7
x = -7/5
Now that we have the values of m = -5/3, b = -7/3, and x1 = -7/5, we can calculate m * b * x1:
(-5/3) * (-7/3) * (-7/5) = 35/9