Question

1. write the equation of a line that has a slope −2 of and x-intercept of 3 type a response a.6.b previous

Explanation:

Step1: Recall the slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We know that the slope $m=-2$. We need to find the y - intercept.

We know that the x - intercept is 3. The x - intercept is the point where $y = 0$. So the line passes through the point $(3,0)$.

Step2: Substitute the point and slope into the equation

Substitute $x = 3$, $y = 0$ and $m=-2$ into the equation $y=mx + b$:
$0=-2\times3 + b$

Step3: Solve for $b$

Simplify the right - hand side of the equation: $0=-6 + b$.
To solve for $b$, add 6 to both sides of the equation: $b = 6$.

Step4: Write the equation of the line

Now that we know $m=-2$ and $b = 6$, substitute these values into the slope - intercept form $y=mx + b$.
We get $y=-2x + 6$. We can also rewrite it in the standard form $2x+y=6$, but the slope - intercept form is also correct.

Answer:

$y=-2x + 6$ (or $2x + y=6$)