Question

Write the equation in slope-intercept form of the line that has a slope of 3 and contains the point (4, 9)

Answer 1

The slope-intercept form of the equation of a line is:
y = mx + b
where m = slope and b = the y-intercept.

You have the slope = m = 3, so let's replace m with 3:
y = 3x + b

To find b, insert the known point (x, y) = (4, 9) into the x and y variables of the equation and solve for b. Then replace b in
y = 3x + b
with the value of b you find.

Answer 2

Slope intercept form is:y=mx+b
m=3 given
since the slope is =rise/run=change in y divided by change in x ,m=3 tells us that for a change of 1 in x we have a change of 3 in y
one point is given (4,9)
substituting back into the equation we have
9=3(4)+b
=>9-12=b
=>-3=b
so,the intercept appears to be -3
the resulting equation is y=3x-3