Question

6. Write the equation of the line in slope-intercept form given the following:

Answer 1

Answer:

$y=\dfrac{5}{4}x+1$

Step-by-step explanation:

Slope intercept form a equation of a line is given by the following formula:

Slope intercept form:

$y=mx+c$

Given that, a point is (-4,-4)

i.e.

$x=-4,\\y=-4$

Slope, $m =\frac{5}{4}$

Putting the given values in the Slope intercept form equation:

$-4=-4\times \dfrac{5}{4}+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1$

Putting the value of $c$ and $m$ in the slope intercept form:

$y=\dfrac{5}{4}x+1$