Question

how to graph 5x+2y=2.

Answer 1

Write the equation in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

The equation is 5x + 2y = 2

Subtract 5x from each side.

2y =2-5x

Divide each side by 2

y = - 5x/2 +1

Compare the equation with slope-intercept form y = mx + b.

slope = -5/2 and y-intercept is 1.

y-intercept is 1, so the line crosses the y-axis at (0, 1)

Using slope find the next point.

Slope = rise/run = -5/2

Start at point (0, 1), move 5 units down and 2 units right, then plot the point (2, -4).

Draw a line through these points.

Graph :