Question

Write an equation in slope-intercept from that passes through the points (-1, -4) and (3, -4).

y = 4
x = 4
x = -4
y = -4

Answer 1

Answer:

y = - 4

Step-by-step explanation:

Since both are at same inclination(as y is same in both), they must have same slope.

Mathematically,

slope = (-4 -(-4)) / (-1 - 3)

= (-4 + 4)/(-4)

= 0/(-4)

= 0

Standard form equation:

=> y - (-4) = 0(x - 3)

=> y + 4 = 0

=> y = -4

Answer 2

$\huge \underline{ \mathfrak{ \red{Given}}} : -$

• $\sf \: x_1 = - 1 \\ </li><li> \sf \: y_1 = -4 \\ </li><li> \sf \: x_2=3 \\ </li><li> \sf \: y_2= -4$

$\huge \underline{ \mathfrak{ \red{to \: find}}} : -$

• Write an equation in slope-intercept from

$\huge \underline{ \mathfrak{ \red{solution}}} : -$

we have formula

$\boxed{ \sf \to \orange{ slope = \frac{ y_1 - y_2}{x_1 - x _1} }}$

putting all values

$\sf \: slope = \frac{(-4 -(-4))}{ - 1 - 3} \\ \\ \sf \: slope = \frac{0}{ - 4} \\ \\ </p><p> \sf slope = 0$

we Standard form equation:

$\boxed{\sf \pink{y - y_2= slope ( x -x _1)}}$

putting all values

$\sf \to \: y - (-4) = 0(x - 3) \\ \\ \sf \to y + 4 = 0 \\ \\ \sf \to \: y \: = - 4</p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p>$

equation in slope-intercept (0,-4)