Answer:
Step-by-step explanation:
Step 1 : Find the slope/gradient (this is known as "m")
The slope formula is :
[tex]m = \frac{y2 - y1}{x2-x1}[/tex]
*Note that we are given 2 points:
For the first point (-2,-1) , this means x1 = -2 and y1 = -1
For the second point (2,4), this means x2 = 2 and y2 = 4
If we substitute those values into the slope formula you end up with this:
[tex]m = \frac{y2-y2}{x2-x1} = \frac{4 - (-1)}{2 - (-2)} = \frac{4+1}{2+2} =\frac{5}{4}[/tex]
Step 2: Substitute the values into the point-slope formula:
[tex]y - y1 = m(x- x1)[/tex]
Now that we know m = 5/4 , you can substitute this into the above formula and you get:
[tex]y - y1 = m(x- x1)[/tex]
[tex]y - (-1) = \frac{5}{4} (x - (-2)) \\y + 1 = \frac{5}{4} ( x + 2)[/tex]
[tex]y = \frac{5}{4}(x + 2) - 1[/tex]
