Question

find the y - intercept and x - intercept of the following linear equation. 7x - 5y = 35. enter the coordinates to plot points on the graph. any lines or curves will be drawn once all required points are plotted. y - intercept (a): ( , ) x - intercept (b): ( , )

Explanation:

Step1: Find the y - intercept

Set \(x = 0\) in the equation \(7x-5y=35\). Then \(- 5y=35\), and \(y=\frac{35}{-5}=-7\). So the y - intercept is the point \((0,-7)\).

Step2: Find the x - intercept

Set \(y = 0\) in the equation \(7x-5y=35\). Then \(7x=35\), and \(x = 5\). So the x - intercept is the point \((5,0)\).

Answer:

y - intercept: \((0,-7)\)
x - intercept: \((5,0)\)