Answer:
y = 2x + 5
Step-by-step explanation:
The standard equation of a line in slope-intercept form is expressed as:
y = mx+c
m is the slope
c is the inercept
Given the coordinates (-4, -3) and (1,7)
Get the slope
m = y2-y1/x2-x1
m = 7-(-3)/1-(-4)
m = 7+3/1+4
m = 10/5
m = 2
Slope is 2
Get the y intercept c
Substitute any of the point say (1, 7) and slope m = 2 into the expression y = mx+c as shown;
7 = 2(1) + c
7 = 2+c
c = 7-2
c = 5
Hence the y-intercept is 5
Get the required equation
Recall that y = mx+c
y = 2x + 5
Hence the values that will go into the blank spaces are 2 and 5