Respuesta :

4)

The slope of the line is the coefficient of x, when the line is in its simplest form (y=mx+b)

[tex]m = \frac{4}{7} [/tex]

5)

We want to rewrite the second equation in its simple form first:

[tex]13x - 4y = 15[/tex]

[tex] - 4y = - 13x + 15[/tex]

[tex]y = \frac{ - 13}{ - 4} x + \frac{15}{ - 4} [/tex]

[tex]y = \frac{13}{4} x - \frac{15}{4} [/tex]

[tex] = > m = \frac{ 13}{4} [/tex]

Answer:

4.

Slope intercept form;

y = mx + b

y = independent variable

x = dependent variable

m = slope(rise/run)

b = y-intercept(where the line reaches the y-axis)

In this case, 4/7 is the slope, and -8/9 is the y-intercept.

So 4/7 is the slope.

5.

Slope intercept form;

y = mx + b

y = independent variable

x = dependent variable

m = slope(rise/run)

In the equation, we need to first format it into the formula shown above.

13x - 4y = 15

-13x        -13x

-4y = -13x + 15

/-4         /-4

y = 13/4x + 14,

13/4 ← already in simplest form

So, 13/4 is the slope and 15 is the y-intercept.