Answer:
y = -2x + 8
Step-by-step explanation:
When two points are given, the equation of the line passing through the points is given by:
where: and
are the two points passing through the line.
Here, and
.
Substituting in the formula, we have:
⇒
⇒ y - 4 = -2x + 4
⇒ y = -2x + 8 is the required equation of the line.
3) y = x + 3
Slope-intercept form is y = mx + b when m is the slope and b is the y-intercept
b = 2 (line hits y-axis at 2)
m = so
and the line is negative, so
Write our equation by putting the parts together, and we get:
y = x + 3
4) y = x - 1.67
Point slope form is y - y1 = m (x - x1) when y1 is the y coordinate of the point, m is the slope, and x1 is the x coordinate of the point
y - y1 = m (x - x1)
Finding the slope (same as above) results in
<em>*aaaa I have to go, good luck, I do have the answer just no times to write out the steps, good luck and have a nice day!*</em>
if we look at the equation y = -2x - 1, is already in slope-intercept form, therefore, has a slope of -2.
now, parallel lines have exactly equal slopes, therefore a parallel to that one above, will have also a slope of -2, so we're really looking for a line whose slope is -2 and runs through -1, 7.