Reduce the equation 5x + 7y – 35 = 0 to slope-intercept form, and he

1.	Reduce the equation 5x + 7y – 35 = 0 to slope-intercept form, and hence find the slope and the y-intercept of the line
Answer» Given equation is 5x + 7y -35 = 0 We can rewrite it as 7y = 35 - 5x ⇒ 7y = - 5x + 35 ⇒ y = \(-\frac{5}{7}x+5\) This equation is in the slope-intercept form i.e. it is the form of y = m x x + c, where m is the slope of the line and c is y-intercept of the line Therefore, m = -5/7 and c = 5 Conclusion: Slope is -5/7 and y - intercept is 5

Reduce the equation 5x + 7y – 35 = 0 to slope-intercept form, and hence find the slope and the y-intercept of the line

Answer»

Given equation is 5x + 7y -35 = 0

We can rewrite it as 7y = 35 - 5x

⇒ 7y = - 5x + 35

⇒ y = \(-\frac{5}{7}x+5\)

This equation is in the slope-intercept form i.e. it is the form of

y = m x x + c, where m is the slope of the line and c is y-intercept of the line

Therefore, m = -5/7 and c = 5

Conclusion: Slope is -5/7 and y - intercept is 5