Answer:
y = 2x +3
Step-by-step explanation:
To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run
So, m = (9 - 3) / (3 - 0)
m = 2
Now we have y = 2x +b
Notice one of our points is (0,3)
Since the x value of that point is 0, it is the y intercept.
In the slope intercept form b = y-intercept
Therefore b = 3
So, y = 2x + 3
Answer:a is positive b is negative
Step-by-step explanation:
Y = mx+b
-1 = 13/4 (-1) +b
-4/4 + 13/4 = b
9/4 = b
The equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5 is 
<em><u>Solution:</u></em>
<em><u>The slope intercept form is given as:</u></em>
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Given that the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5
Given line is perpendicular to − 4 x − 3 y = − 5
− 4 x − 3 y = − 5
-3y = 4x - 5
3y = -4x + 5

On comparing the above equation with eqn 1, we get,

We know that product of slope of a line and slope of line perpendicular to it is -1

Given point is (-1, -2)
Now we have to find the equation of line passing through (-1, -2) with slope 
Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1



Thus the required equation of line is found