Question

find the slope and y-intercept of the graph of each equation 5x+2y=7.

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  = 7

Subtract 5x from each side.

2y  =7 - 5x

Divide each side by 2

y  = - 5x /2 +7/2

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

slope = -5/2 and y -intercept is 3.5.

y -intercept is 3.5, so the line crosses the y -axis at (0, 3.5)

Using slope find the next point.

Slope = rise/run = -5/2

Start at point (0, 3.5), move 5 units down and 2 units right, then plot the point (2, -1.5).

Draw a line through these points.

Graph :