What is the slope of the graph of -5x+8y=30. a.5/8 b.6 c.-5/8 d.15/4
converting to slope-intercept form
adding 5 x ... 8 y = 5 x + 30
dividing by 8 ... y = 5/8 x + 15/4
What is the slope of the graph of -5x+8y=30
Find the x- and y-intercept of the line.
–4x + 2y = 24
To find the slope of the graph represented by the equation -5x + 8y = 30, we need to rewrite it in the slope-intercept form, which is in the form y = mx + b, where m is the slope.
Let's solve for y:
-5x + 8y = 30
8y = 5x + 30
y = (5/8)x + 30/8
y = (5/8)x + 15/4
Now we can see that the coefficient of x, which is (5/8), represents the slope of the graph. So the slope of the graph is 5/8.
Therefore, the correct answer is a. 5/8.