Answer:
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through (-2, 4) and (2, 7).
The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
First, let's find the slope of the line.
The slope, calculated from two points is given as the formula , where
and
are points.
We have two points, which is needed to find the slope, but let's label their values to avoid confusion.
Now substitute those values into the formula.
m=
m=
Simplify
m=
m=
So the slope of the line is .
Substitute that value as m in y=mx+b
y=
Now we need to find b
As the equation passes through both (-2, 4) and (2, 7), we can substitute the values of either one of them in the equation to solve for b
Taking (-2, 4) for example,
Substitute -2 as x and 4 as y:
4=
Multiply
4=+b
Add -3/2 to both sides
Substitute that value into the equation
y=
Hope this helps!