Write the slope-intercept form of the equation slope. through: (2, 4), slope = 1
Explain step by step solutions
To write the equation of a line in slope-intercept form (y = mx + b), we need two pieces of information: the slope (m) and a point (x, y) through which the line passes.
Given:
Slope (m) = 1
Point (2, 4)
Step 1: Write the equation using the information given:
y = mx + b
Step 2: Substitute the given slope (m) into the equation:
y = 1x + b
Step 3: Substitute the x-coordinate and y-coordinate of the given point (2, 4) into the equation:
4 = 1(2) + b
Step 4: Simplify the equation:
4 = 2 + b
Step 5: Solve for b by isolating it on one side of the equation:
b = 4 - 2
b = 2
Step 6: Now that we have the value of b, substitute it back into the equation:
y = 1x + 2
Step 7: Simplify the equation:
y = x + 2
Therefore, the slope-intercept form of the equation with a slope of 1 and passing through the point (2, 4) is y = x + 2.