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Give the equation of the line with a slope of - 5/7 and a y intercept of 5

Sagot :

Answer:

[tex]y=-\frac{5}{7}x+5[/tex]

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the slope and c is the y-intercept. This is also known as the slope-intercept form.

Identify the value of the slope, m:

Given that the slope is [tex]-\frac{5}{7}[/tex], m= [tex]-\frac{5}{7}[/tex].

Substituting the value of m into the equation:

[tex]y=-\frac{5}{7} x+c[/tex]

Identify the value of the y-intercept:

Given that the y-intercept is 5, c= 5.

Substitute c= 5:

[tex]\bf{y=-\frac{5}{7}x+5}[/tex]

Thus, the equation of the line is [tex]\bf{y=-\frac{5}{7} x+5}[/tex].

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