The equation of a line is given as 3 x - 5y = 7. Find its gradient (slope)
Answer Details
The equation of a line in the slope-intercept form is y = mx + c, where m is the gradient (slope) of the line and c is the y-intercept.
However, the given equation of the line is not in the slope-intercept form, but in the standard form. To find the slope of the line, we need to rewrite the equation in the slope-intercept form.
We can do this by solving the equation for y:
3x - 5y = 7
-5y = -3x + 7
y = (3/5)x - 7/5
Comparing this with the slope-intercept form, we can see that the gradient (slope) of the line is 3/5.
Therefore, the answer is 3/5.