Given slope m = 3 and y-intercept b = 4, which equation represents the line in slope-intercept form?

Given slope m = 3 and y-intercept b = 4, which equation represents the line in slope-intercept form?

• A. y = 0x + 4
• B. y = 3x - 4
• C. y = -3x + 4
• D. y = 3x + 4

Answer: (D)

In slope-intercept form, the equation is written as y = mx + b, where m is the slope and b is the y-intercept. With m = 3 and b = 4, the line is y = 3x + 4. This means the line rises 3 units for every 1 unit it moves to the right, and it crosses the y-axis at (0, 4). The other expressions don’t match these values: a slope of 0 would be a flat line with intercept 4, a slope of 3 with intercept -4 would cross the y-axis at -4, and a negative slope would go down as x increases. So the correct equation is y = 3x + 4.

In slope-intercept form, the equation is written as y = mx + b, where m is the slope and b is the y-intercept. With m = 3 and b = 4, the line is y = 3x + 4. This means the line rises 3 units for every 1 unit it moves to the right, and it crosses the y-axis at (0, 4). The other expressions don’t match these values: a slope of 0 would be a flat line with intercept 4, a slope of 3 with intercept -4 would cross the y-axis at -4, and a negative slope would go down as x increases. So the correct equation is y = 3x + 4.