b Substitute the given point into the equation and solve for b.
A
a y=1/2x-2
B
b y=2x+2
Practice makes perfect
a Equations in slope-intercept form follow a certain format.
y=mx+ b
In this format m is the slope and b is the y-intercept. The line has a slope of 12, which means that we can substitute m=12.
y=1/2x+ b
To write a complete equation for this line, we also need to determine the y-intercept b. We can do that by substituting the given point (6,1) into the equation and solving for b.
Now that we have both the slope and the y-intercept, we can write the final equation.
y=1/2x+( -2) ⇔ y=1/2x - 2
b We are asked to find the equation in a slope-intercept form using the partial equation and the point. Equations in this form follow a certain format.
y=mx+ b
In this format m is the slope and b is the y-intercept. In our exercise, the line has a slope of 2.
y=2x+ b
To write a complete equation for this line, we also need to determine the y-intercept b. We can do that by substituting the given point (1,4) into the equation and solving for b.
