Question

what is the slope intercept form of the equation of the line that has a slope of (-4) and passes through the point ((0, 18))?
(y = 18x - 4)
(-4x + y = 18)
(4x + y = 18)
(y = -4x + 18)

question 2
1 point
what is the slope intercept form of the equation of the line that has a slope of 6 and passes through the point ((10, 14))?
(fill each blank with an integer)
(y = square x + square)

Explanation:

Question 1

Step1: Recall slope-intercept form

Slope-intercept form is $y = mx + b$, where $m$ is slope, $b$ is y-intercept.

Step2: Identify given values

Given $m = -4$, and the point $(0,18)$ is the y-intercept, so $b = 18$.

Step3: Substitute values into formula

Substitute $m=-4$ and $b=18$ into $y=mx+b$.
$y = -4x + 18$

Step1: Recall slope-intercept form

Slope-intercept form is $y = mx + b$, where $m$ is slope.

Step2: Substitute known values

Given $m=6$, $x=10$, $y=14$. Substitute into $y=mx+b$:
$14 = 6(10) + b$

Step3: Solve for $b$

Calculate $6(10)=60$, then $14 = 60 + b$. Rearrange to find $b$:
$b = 14 - 60 = -46$

Step4: Write final equation

Substitute $m=6$ and $b=-46$ into $y=mx+b$.

Answer:

$y=-4x+18$

---

Question 2